Finding the Third Proportional to 31,265 and 69,286

Step by Step Solution

1. Step 1: Write the proportion equation
   31,265 : 69,286 = 69,286 : x
2. Step 2: Convert to fraction form
   31,265/69,286 = 69,286/x
3. Step 3: Cross multiply
   31,265x = 69,286 × 69,286
4. Step 4: Simplify right side
   31,265x = 4,800,549,796
5. Step 5: Solve for x
   x = 4,800,549,796/31,265
6. Step 6: Final answer
   x = 153,543.89