Finding the Third Proportional to 9,712.50 and 14,514

Step by Step Solution

1. Step 1: Write the proportion equation
   9,712.50 : 14,514 = 14,514 : x
2. Step 2: Convert to fraction form
   9,712.50/14,514 = 14,514/x
3. Step 3: Cross multiply
   9,712.50x = 14,514 × 14,514
4. Step 4: Simplify right side
   9,712.50x = 210,656,196
5. Step 5: Solve for x
   x = 210,656,196/9,712.50
6. Step 6: Final answer
   x = 21,689.18