Finding the Third Proportional to 10,165.50 and 24,630.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.50 : 24,630.75 = 24,630.75 : x
2. Step 2: Convert to fraction form
   10,165.50/24,630.75 = 24,630.75/x
3. Step 3: Cross multiply
   10,165.50x = 24,630.75 × 24,630.75
4. Step 4: Simplify right side
   10,165.50x = 606,673,845.56
5. Step 5: Solve for x
   x = 606,673,845.56/10,165.50
6. Step 6: Final answer
   x = 59,679.69