Finding the Third Proportional to 9,892.50 and 14,514.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.50 : 14,514.75 = 14,514.75 : x
2. Step 2: Convert to fraction form
   9,892.50/14,514.75 = 14,514.75/x
3. Step 3: Cross multiply
   9,892.50x = 14,514.75 × 14,514.75
4. Step 4: Simplify right side
   9,892.50x = 210,677,967.56
5. Step 5: Solve for x
   x = 210,677,967.56/9,892.50
6. Step 6: Final answer
   x = 21,296.74