Finding the Third Proportional to 31,688 and 69,256

Step by Step Solution

1. Step 1: Write the proportion equation
   31,688 : 69,256 = 69,256 : x
2. Step 2: Convert to fraction form
   31,688/69,256 = 69,256/x
3. Step 3: Cross multiply
   31,688x = 69,256 × 69,256
4. Step 4: Simplify right side
   31,688x = 4,796,393,536
5. Step 5: Solve for x
   x = 4,796,393,536/31,688
6. Step 6: Final answer
   x = 151,363.09