Finding the Third Proportional to 21,332 and 32,002

Step by Step Solution

1. Step 1: Write the proportion equation
   21,332 : 32,002 = 32,002 : x
2. Step 2: Convert to fraction form
   21,332/32,002 = 32,002/x
3. Step 3: Cross multiply
   21,332x = 32,002 × 32,002
4. Step 4: Simplify right side
   21,332x = 1,024,128,004
5. Step 5: Solve for x
   x = 1,024,128,004/21,332
6. Step 6: Final answer
   x = 48,009.00