Finding the Third Proportional to 10,663.50 and 24,789.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,663.50 : 24,789.75 = 24,789.75 : x
2. Step 2: Convert to fraction form
   10,663.50/24,789.75 = 24,789.75/x
3. Step 3: Cross multiply
   10,663.50x = 24,789.75 × 24,789.75
4. Step 4: Simplify right side
   10,663.50x = 614,531,705.06
5. Step 5: Solve for x
   x = 614,531,705.06/10,663.50
6. Step 6: Final answer
   x = 57,629.46