Finding the Third Proportional to 13,562 and 32,663

Step by Step Solution

1. Step 1: Write the proportion equation
   13,562 : 32,663 = 32,663 : x
2. Step 2: Convert to fraction form
   13,562/32,663 = 32,663/x
3. Step 3: Cross multiply
   13,562x = 32,663 × 32,663
4. Step 4: Simplify right side
   13,562x = 1,066,871,569
5. Step 5: Solve for x
   x = 1,066,871,569/13,562
6. Step 6: Final answer
   x = 78,666.24