Finding the Third Proportional to 41,509 and 62,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,509 : 62,695.50 = 62,695.50 : x
2. Step 2: Convert to fraction form
   41,509/62,695.50 = 62,695.50/x
3. Step 3: Cross multiply
   41,509x = 62,695.50 × 62,695.50
4. Step 4: Simplify right side
   41,509x = 3,930,725,720.25
5. Step 5: Solve for x
   x = 3,930,725,720.25/41,509
6. Step 6: Final answer
   x = 94,695.75