Finding the Third Proportional to 12,524.63 and 19,817.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,524.63 : 19,817.16 = 19,817.16 : x
2. Step 2: Convert to fraction form
   12,524.63/19,817.16 = 19,817.16/x
3. Step 3: Cross multiply
   12,524.63x = 19,817.16 × 19,817.16
4. Step 4: Simplify right side
   12,524.63x = 392,719,681.84
5. Step 5: Solve for x
   x = 392,719,681.84/12,524.63
6. Step 6: Final answer
   x = 31,355.80