Finding the Third Proportional to 31,680 and 69,895

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680 : 69,895 = 69,895 : x
2. Step 2: Convert to fraction form
   31,680/69,895 = 69,895/x
3. Step 3: Cross multiply
   31,680x = 69,895 × 69,895
4. Step 4: Simplify right side
   31,680x = 4,885,311,025
5. Step 5: Solve for x
   x = 4,885,311,025/31,680
6. Step 6: Final answer
   x = 154,208.05