Finding the Third Proportional to 31,898 and 69,841

Step by Step Solution

1. Step 1: Write the proportion equation
   31,898 : 69,841 = 69,841 : x
2. Step 2: Convert to fraction form
   31,898/69,841 = 69,841/x
3. Step 3: Cross multiply
   31,898x = 69,841 × 69,841
4. Step 4: Simplify right side
   31,898x = 4,877,765,281
5. Step 5: Solve for x
   x = 4,877,765,281/31,898
6. Step 6: Final answer
   x = 152,917.59