Finding the Third Proportional to 31,656 and 69,195

Step by Step Solution

1. Step 1: Write the proportion equation
   31,656 : 69,195 = 69,195 : x
2. Step 2: Convert to fraction form
   31,656/69,195 = 69,195/x
3. Step 3: Cross multiply
   31,656x = 69,195 × 69,195
4. Step 4: Simplify right side
   31,656x = 4,787,948,025
5. Step 5: Solve for x
   x = 4,787,948,025/31,656
6. Step 6: Final answer
   x = 151,249.31