Finding the Third Proportional to 10,037 and 14,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,037 : 14,766.50 = 14,766.50 : x
2. Step 2: Convert to fraction form
   10,037/14,766.50 = 14,766.50/x
3. Step 3: Cross multiply
   10,037x = 14,766.50 × 14,766.50
4. Step 4: Simplify right side
   10,037x = 218,049,522.25
5. Step 5: Solve for x
   x = 218,049,522.25/10,037
6. Step 6: Final answer
   x = 21,724.57