Finding the Third Proportional to 31,782 and 69,948

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782 : 69,948 = 69,948 : x
2. Step 2: Convert to fraction form
   31,782/69,948 = 69,948/x
3. Step 3: Cross multiply
   31,782x = 69,948 × 69,948
4. Step 4: Simplify right side
   31,782x = 4,892,722,704
5. Step 5: Solve for x
   x = 4,892,722,704/31,782
6. Step 6: Final answer
   x = 153,946.34