Finding the Third Proportional to 31,974.75 and 69,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,974.75 : 69,673.50 = 69,673.50 : x
2. Step 2: Convert to fraction form
   31,974.75/69,673.50 = 69,673.50/x
3. Step 3: Cross multiply
   31,974.75x = 69,673.50 × 69,673.50
4. Step 4: Simplify right side
   31,974.75x = 4,854,396,602.25
5. Step 5: Solve for x
   x = 4,854,396,602.25/31,974.75
6. Step 6: Final answer
   x = 151,819.69