Finding the Third Proportional to 31,814 and 69,292

Step by Step Solution

1. Step 1: Write the proportion equation
   31,814 : 69,292 = 69,292 : x
2. Step 2: Convert to fraction form
   31,814/69,292 = 69,292/x
3. Step 3: Cross multiply
   31,814x = 69,292 × 69,292
4. Step 4: Simplify right side
   31,814x = 4,801,381,264
5. Step 5: Solve for x
   x = 4,801,381,264/31,814
6. Step 6: Final answer
   x = 150,920.39