Finding the Third Proportional to 31,931 and 69,389

Step by Step Solution

1. Step 1: Write the proportion equation
   31,931 : 69,389 = 69,389 : x
2. Step 2: Convert to fraction form
   31,931/69,389 = 69,389/x
3. Step 3: Cross multiply
   31,931x = 69,389 × 69,389
4. Step 4: Simplify right side
   31,931x = 4,814,833,321
5. Step 5: Solve for x
   x = 4,814,833,321/31,931
6. Step 6: Final answer
   x = 150,788.68