Finding the Third Proportional to 53,643.75 and 83,108.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,643.75 : 83,108.25 = 83,108.25 : x
2. Step 2: Convert to fraction form
   53,643.75/83,108.25 = 83,108.25/x
3. Step 3: Cross multiply
   53,643.75x = 83,108.25 × 83,108.25
4. Step 4: Simplify right side
   53,643.75x = 6,906,981,218.06
5. Step 5: Solve for x
   x = 6,906,981,218.06/53,643.75
6. Step 6: Final answer
   x = 128,756.49