Finding the Third Proportional to 31,941 and 74,604

Step by Step Solution

1. Step 1: Write the proportion equation
   31,941 : 74,604 = 74,604 : x
2. Step 2: Convert to fraction form
   31,941/74,604 = 74,604/x
3. Step 3: Cross multiply
   31,941x = 74,604 × 74,604
4. Step 4: Simplify right side
   31,941x = 5,565,756,816
5. Step 5: Solve for x
   x = 5,565,756,816/31,941
6. Step 6: Final answer
   x = 174,251.18