Finding the Third Proportional to 31,852 and 69,157

Step by Step Solution

1. Step 1: Write the proportion equation
   31,852 : 69,157 = 69,157 : x
2. Step 2: Convert to fraction form
   31,852/69,157 = 69,157/x
3. Step 3: Cross multiply
   31,852x = 69,157 × 69,157
4. Step 4: Simplify right side
   31,852x = 4,782,690,649
5. Step 5: Solve for x
   x = 4,782,690,649/31,852
6. Step 6: Final answer
   x = 150,153.54