Finding the Third Proportional to 53,754 and 83,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,754 : 83,512.50 = 83,512.50 : x
2. Step 2: Convert to fraction form
   53,754/83,512.50 = 83,512.50/x
3. Step 3: Cross multiply
   53,754x = 83,512.50 × 83,512.50
4. Step 4: Simplify right side
   53,754x = 6,974,337,656.25
5. Step 5: Solve for x
   x = 6,974,337,656.25/53,754
6. Step 6: Final answer
   x = 129,745.46