Finding the Third Proportional to 12,577.50 and 24,837.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,577.50 : 24,837.75 = 24,837.75 : x
2. Step 2: Convert to fraction form
   12,577.50/24,837.75 = 24,837.75/x
3. Step 3: Cross multiply
   12,577.50x = 24,837.75 × 24,837.75
4. Step 4: Simplify right side
   12,577.50x = 616,913,825.06
5. Step 5: Solve for x
   x = 616,913,825.06/12,577.50
6. Step 6: Final answer
   x = 49,049.00