Finding the Third Proportional to 31,898 and 69,862

Step by Step Solution

1. Step 1: Write the proportion equation
   31,898 : 69,862 = 69,862 : x
2. Step 2: Convert to fraction form
   31,898/69,862 = 69,862/x
3. Step 3: Cross multiply
   31,898x = 69,862 × 69,862
4. Step 4: Simplify right side
   31,898x = 4,880,699,044
5. Step 5: Solve for x
   x = 4,880,699,044/31,898
6. Step 6: Final answer
   x = 153,009.56