Finding the Third Proportional to 24,978 and 52,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,978 : 52,264.50 = 52,264.50 : x
2. Step 2: Convert to fraction form
   24,978/52,264.50 = 52,264.50/x
3. Step 3: Cross multiply
   24,978x = 52,264.50 × 52,264.50
4. Step 4: Simplify right side
   24,978x = 2,731,577,960.25
5. Step 5: Solve for x
   x = 2,731,577,960.25/24,978
6. Step 6: Final answer
   x = 109,359.35