Finding the Third Proportional to 31,839 and 69,429

Step by Step Solution

1. Step 1: Write the proportion equation
   31,839 : 69,429 = 69,429 : x
2. Step 2: Convert to fraction form
   31,839/69,429 = 69,429/x
3. Step 3: Cross multiply
   31,839x = 69,429 × 69,429
4. Step 4: Simplify right side
   31,839x = 4,820,386,041
5. Step 5: Solve for x
   x = 4,820,386,041/31,839
6. Step 6: Final answer
   x = 151,398.79