Finding the Third Proportional to 31,347 and 69,255

Step by Step Solution

1. Step 1: Write the proportion equation
   31,347 : 69,255 = 69,255 : x
2. Step 2: Convert to fraction form
   31,347/69,255 = 69,255/x
3. Step 3: Cross multiply
   31,347x = 69,255 × 69,255
4. Step 4: Simplify right side
   31,347x = 4,796,255,025
5. Step 5: Solve for x
   x = 4,796,255,025/31,347
6. Step 6: Final answer
   x = 153,005.23