Finding the Third Proportional to 31,942 and 69,468

Step by Step Solution

1. Step 1: Write the proportion equation
   31,942 : 69,468 = 69,468 : x
2. Step 2: Convert to fraction form
   31,942/69,468 = 69,468/x
3. Step 3: Cross multiply
   31,942x = 69,468 × 69,468
4. Step 4: Simplify right side
   31,942x = 4,825,803,024
5. Step 5: Solve for x
   x = 4,825,803,024/31,942
6. Step 6: Final answer
   x = 151,080.18