Finding the Third Proportional to 31,591 and 68,103

Step by Step Solution

1. Step 1: Write the proportion equation
   31,591 : 68,103 = 68,103 : x
2. Step 2: Convert to fraction form
   31,591/68,103 = 68,103/x
3. Step 3: Cross multiply
   31,591x = 68,103 × 68,103
4. Step 4: Simplify right side
   31,591x = 4,638,018,609
5. Step 5: Solve for x
   x = 4,638,018,609/31,591
6. Step 6: Final answer
   x = 146,814.56