Finding the Third Proportional to 42,952.50 and 65,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,952.50 : 65,539.50 = 65,539.50 : x
2. Step 2: Convert to fraction form
   42,952.50/65,539.50 = 65,539.50/x
3. Step 3: Cross multiply
   42,952.50x = 65,539.50 × 65,539.50
4. Step 4: Simplify right side
   42,952.50x = 4,295,426,060.25
5. Step 5: Solve for x
   x = 4,295,426,060.25/42,952.50
6. Step 6: Final answer
   x = 100,004.10