Finding the Third Proportional to 24,978.50 and 52,265

Step by Step Solution

1. Step 1: Write the proportion equation
   24,978.50 : 52,265 = 52,265 : x
2. Step 2: Convert to fraction form
   24,978.50/52,265 = 52,265/x
3. Step 3: Cross multiply
   24,978.50x = 52,265 × 52,265
4. Step 4: Simplify right side
   24,978.50x = 2,731,630,225
5. Step 5: Solve for x
   x = 2,731,630,225/24,978.50
6. Step 6: Final answer
   x = 109,359.26