Finding the Third Proportional to 13,699 and 32,327

Step by Step Solution

1. Step 1: Write the proportion equation
   13,699 : 32,327 = 32,327 : x
2. Step 2: Convert to fraction form
   13,699/32,327 = 32,327/x
3. Step 3: Cross multiply
   13,699x = 32,327 × 32,327
4. Step 4: Simplify right side
   13,699x = 1,045,034,929
5. Step 5: Solve for x
   x = 1,045,034,929/13,699
6. Step 6: Final answer
   x = 76,285.49