Finding the Third Proportional to 31,701.38 and 74,970

Step by Step Solution

1. Step 1: Write the proportion equation
   31,701.38 : 74,970 = 74,970 : x
2. Step 2: Convert to fraction form
   31,701.38/74,970 = 74,970/x
3. Step 3: Cross multiply
   31,701.38x = 74,970 × 74,970
4. Step 4: Simplify right side
   31,701.38x = 5,620,500,900
5. Step 5: Solve for x
   x = 5,620,500,900/31,701.38
6. Step 6: Final answer
   x = 177,295.18