Finding the Third Proportional to 10,635 and 24,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,635 : 24,838.50 = 24,838.50 : x
2. Step 2: Convert to fraction form
   10,635/24,838.50 = 24,838.50/x
3. Step 3: Cross multiply
   10,635x = 24,838.50 × 24,838.50
4. Step 4: Simplify right side
   10,635x = 616,951,082.25
5. Step 5: Solve for x
   x = 616,951,082.25/10,635
6. Step 6: Final answer
   x = 58,011.39