Finding the Third Proportional to 57,974 and 82,708.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,974 : 82,708.50 = 82,708.50 : x
2. Step 2: Convert to fraction form
   57,974/82,708.50 = 82,708.50/x
3. Step 3: Cross multiply
   57,974x = 82,708.50 × 82,708.50
4. Step 4: Simplify right side
   57,974x = 6,840,695,972.25
5. Step 5: Solve for x
   x = 6,840,695,972.25/57,974
6. Step 6: Final answer
   x = 117,995.93