Finding the Third Proportional to 32,002 and 74,759

Step by Step Solution

1. Step 1: Write the proportion equation
   32,002 : 74,759 = 74,759 : x
2. Step 2: Convert to fraction form
   32,002/74,759 = 74,759/x
3. Step 3: Cross multiply
   32,002x = 74,759 × 74,759
4. Step 4: Simplify right side
   32,002x = 5,588,908,081
5. Step 5: Solve for x
   x = 5,588,908,081/32,002
6. Step 6: Final answer
   x = 174,642.46