Finding the Third Proportional to 31,989 and 69,801

Step by Step Solution

1. Step 1: Write the proportion equation
   31,989 : 69,801 = 69,801 : x
2. Step 2: Convert to fraction form
   31,989/69,801 = 69,801/x
3. Step 3: Cross multiply
   31,989x = 69,801 × 69,801
4. Step 4: Simplify right side
   31,989x = 4,872,179,601
5. Step 5: Solve for x
   x = 4,872,179,601/31,989
6. Step 6: Final answer
   x = 152,307.97