Finding the Third Proportional to 12,978.56 and 20,332.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,978.56 : 20,332.13 = 20,332.13 : x
2. Step 2: Convert to fraction form
   12,978.56/20,332.13 = 20,332.13/x
3. Step 3: Cross multiply
   12,978.56x = 20,332.13 × 20,332.13
4. Step 4: Simplify right side
   12,978.56x = 413,395,307.02
5. Step 5: Solve for x
   x = 413,395,307.02/12,978.56
6. Step 6: Final answer
   x = 31,852.16