Finding the Third Proportional to 31,899 and 69,327

Step by Step Solution

1. Step 1: Write the proportion equation
   31,899 : 69,327 = 69,327 : x
2. Step 2: Convert to fraction form
   31,899/69,327 = 69,327/x
3. Step 3: Cross multiply
   31,899x = 69,327 × 69,327
4. Step 4: Simplify right side
   31,899x = 4,806,232,929
5. Step 5: Solve for x
   x = 4,806,232,929/31,899
6. Step 6: Final answer
   x = 150,670.33