Finding the Third Proportional to 10,004.25 and 21,770.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.25 : 21,770.06 = 21,770.06 : x
2. Step 2: Convert to fraction form
   10,004.25/21,770.06 = 21,770.06/x
3. Step 3: Cross multiply
   10,004.25x = 21,770.06 × 21,770.06
4. Step 4: Simplify right side
   10,004.25x = 473,935,621.25
5. Step 5: Solve for x
   x = 473,935,621.25/10,004.25
6. Step 6: Final answer
   x = 47,373.43