Finding the Third Proportional to 9,684,789,105,122 and 21,343,646,672,644

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684,789,105,122 : 21,343,646,672,644 = 21,343,646,672,644 : x
2. Step 2: Convert to fraction form
   9,684,789,105,122/21,343,646,672,644 = 21,343,646,672,644/x
3. Step 3: Cross multiply
   9,684,789,105,122x = 21,343,646,672,644 × 21,343,646,672,644
4. Step 4: Simplify right side
   9,684,789,105,122x = 455,551,253,286,667,318,380,724,224
5. Step 5: Solve for x
   x = 455,551,253,286,667,318,380,724,224/9,684,789,105,122
6. Step 6: Final answer
   x = 47,037,808,293,186.23