Finding the Third Proportional to 9,892.50 and 14,170.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.50 : 14,170.88 = 14,170.88 : x
2. Step 2: Convert to fraction form
   9,892.50/14,170.88 = 14,170.88/x
3. Step 3: Cross multiply
   9,892.50x = 14,170.88 × 14,170.88
4. Step 4: Simplify right side
   9,892.50x = 200,813,698.27
5. Step 5: Solve for x
   x = 200,813,698.27/9,892.50
6. Step 6: Final answer
   x = 20,299.59