Finding the Third Proportional to 31,826 and 69,188

Step by Step Solution

1. Step 1: Write the proportion equation
   31,826 : 69,188 = 69,188 : x
2. Step 2: Convert to fraction form
   31,826/69,188 = 69,188/x
3. Step 3: Cross multiply
   31,826x = 69,188 × 69,188
4. Step 4: Simplify right side
   31,826x = 4,786,979,344
5. Step 5: Solve for x
   x = 4,786,979,344/31,826
6. Step 6: Final answer
   x = 150,410.96