Finding the Third Proportional to 31,815 and 69,098

Step by Step Solution

1. Step 1: Write the proportion equation
   31,815 : 69,098 = 69,098 : x
2. Step 2: Convert to fraction form
   31,815/69,098 = 69,098/x
3. Step 3: Cross multiply
   31,815x = 69,098 × 69,098
4. Step 4: Simplify right side
   31,815x = 4,774,533,604
5. Step 5: Solve for x
   x = 4,774,533,604/31,815
6. Step 6: Final answer
   x = 150,071.78