Finding the Third Proportional to 51,978.38 and 83,710.13

Step by Step Solution

1. Step 1: Write the proportion equation
   51,978.38 : 83,710.13 = 83,710.13 : x
2. Step 2: Convert to fraction form
   51,978.38/83,710.13 = 83,710.13/x
3. Step 3: Cross multiply
   51,978.38x = 83,710.13 × 83,710.13
4. Step 4: Simplify right side
   51,978.38x = 7,007,385,027.52
5. Step 5: Solve for x
   x = 7,007,385,027.52/51,978.38
6. Step 6: Final answer
   x = 134,813.47