Finding the Third Proportional to 31,939.50 and 74,601

Step by Step Solution

1. Step 1: Write the proportion equation
   31,939.50 : 74,601 = 74,601 : x
2. Step 2: Convert to fraction form
   31,939.50/74,601 = 74,601/x
3. Step 3: Cross multiply
   31,939.50x = 74,601 × 74,601
4. Step 4: Simplify right side
   31,939.50x = 5,565,309,201
5. Step 5: Solve for x
   x = 5,565,309,201/31,939.50
6. Step 6: Final answer
   x = 174,245.35