Finding the Third Proportional to 10,492.50 and 14,670

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.50 : 14,670 = 14,670 : x
2. Step 2: Convert to fraction form
   10,492.50/14,670 = 14,670/x
3. Step 3: Cross multiply
   10,492.50x = 14,670 × 14,670
4. Step 4: Simplify right side
   10,492.50x = 215,208,900
5. Step 5: Solve for x
   x = 215,208,900/10,492.50
6. Step 6: Final answer
   x = 20,510.74