Finding the Third Proportional to 13,548 and 32,632

Step by Step Solution

1. Step 1: Write the proportion equation
   13,548 : 32,632 = 32,632 : x
2. Step 2: Convert to fraction form
   13,548/32,632 = 32,632/x
3. Step 3: Cross multiply
   13,548x = 32,632 × 32,632
4. Step 4: Simplify right side
   13,548x = 1,064,847,424
5. Step 5: Solve for x
   x = 1,064,847,424/13,548
6. Step 6: Final answer
   x = 78,598.13