Finding the Third Proportional to 14,705 and 32,002

Step by Step Solution

1. Step 1: Write the proportion equation
   14,705 : 32,002 = 32,002 : x
2. Step 2: Convert to fraction form
   14,705/32,002 = 32,002/x
3. Step 3: Cross multiply
   14,705x = 32,002 × 32,002
4. Step 4: Simplify right side
   14,705x = 1,024,128,004
5. Step 5: Solve for x
   x = 1,024,128,004/14,705
6. Step 6: Final answer
   x = 69,644.88