Finding the Third Proportional to 31,012 and 68,948

Step by Step Solution

1. Step 1: Write the proportion equation
   31,012 : 68,948 = 68,948 : x
2. Step 2: Convert to fraction form
   31,012/68,948 = 68,948/x
3. Step 3: Cross multiply
   31,012x = 68,948 × 68,948
4. Step 4: Simplify right side
   31,012x = 4,753,826,704
5. Step 5: Solve for x
   x = 4,753,826,704/31,012
6. Step 6: Final answer
   x = 153,289.91