Finding the Third Proportional to 13,702 and 32,005

Step by Step Solution

1. Step 1: Write the proportion equation
   13,702 : 32,005 = 32,005 : x
2. Step 2: Convert to fraction form
   13,702/32,005 = 32,005/x
3. Step 3: Cross multiply
   13,702x = 32,005 × 32,005
4. Step 4: Simplify right side
   13,702x = 1,024,320,025
5. Step 5: Solve for x
   x = 1,024,320,025/13,702
6. Step 6: Final answer
   x = 74,756.97