Finding the Third Proportional to 9,742.50 and 21,327

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.50 : 21,327 = 21,327 : x
2. Step 2: Convert to fraction form
   9,742.50/21,327 = 21,327/x
3. Step 3: Cross multiply
   9,742.50x = 21,327 × 21,327
4. Step 4: Simplify right side
   9,742.50x = 454,840,929
5. Step 5: Solve for x
   x = 454,840,929/9,742.50
6. Step 6: Final answer
   x = 46,686.26