Finding the Third Proportional to 31,898 and 69,842

Step by Step Solution

1. Step 1: Write the proportion equation
   31,898 : 69,842 = 69,842 : x
2. Step 2: Convert to fraction form
   31,898/69,842 = 69,842/x
3. Step 3: Cross multiply
   31,898x = 69,842 × 69,842
4. Step 4: Simplify right side
   31,898x = 4,877,904,964
5. Step 5: Solve for x
   x = 4,877,904,964/31,898
6. Step 6: Final answer
   x = 152,921.97