Finding the Third Proportional to 31,828.50 and 74,319.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,828.50 : 74,319.75 = 74,319.75 : x
2. Step 2: Convert to fraction form
   31,828.50/74,319.75 = 74,319.75/x
3. Step 3: Cross multiply
   31,828.50x = 74,319.75 × 74,319.75
4. Step 4: Simplify right side
   31,828.50x = 5,523,425,240.06
5. Step 5: Solve for x
   x = 5,523,425,240.06/31,828.50
6. Step 6: Final answer
   x = 173,537.09