Finding the Third Proportional to 31,096 and 68,023

Step by Step Solution

1. Step 1: Write the proportion equation
   31,096 : 68,023 = 68,023 : x
2. Step 2: Convert to fraction form
   31,096/68,023 = 68,023/x
3. Step 3: Cross multiply
   31,096x = 68,023 × 68,023
4. Step 4: Simplify right side
   31,096x = 4,627,128,529
5. Step 5: Solve for x
   x = 4,627,128,529/31,096
6. Step 6: Final answer
   x = 148,801.41