Finding the Third Proportional to 31,996 and 69,815

Step by Step Solution

1. Step 1: Write the proportion equation
   31,996 : 69,815 = 69,815 : x
2. Step 2: Convert to fraction form
   31,996/69,815 = 69,815/x
3. Step 3: Cross multiply
   31,996x = 69,815 × 69,815
4. Step 4: Simplify right side
   31,996x = 4,874,134,225
5. Step 5: Solve for x
   x = 4,874,134,225/31,996
6. Step 6: Final answer
   x = 152,335.74