Finding the Third Proportional to 13,716 and 32,002

Step by Step Solution

1. Step 1: Write the proportion equation
   13,716 : 32,002 = 32,002 : x
2. Step 2: Convert to fraction form
   13,716/32,002 = 32,002/x
3. Step 3: Cross multiply
   13,716x = 32,002 × 32,002
4. Step 4: Simplify right side
   13,716x = 1,024,128,004
5. Step 5: Solve for x
   x = 1,024,128,004/13,716
6. Step 6: Final answer
   x = 74,666.67