Finding the Third Proportional to 31,462 and 69,917

Step by Step Solution

1. Step 1: Write the proportion equation
   31,462 : 69,917 = 69,917 : x
2. Step 2: Convert to fraction form
   31,462/69,917 = 69,917/x
3. Step 3: Cross multiply
   31,462x = 69,917 × 69,917
4. Step 4: Simplify right side
   31,462x = 4,888,386,889
5. Step 5: Solve for x
   x = 4,888,386,889/31,462
6. Step 6: Final answer
   x = 155,374.32