Finding the Third Proportional to 31,743 and 67,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,743 : 67,858.50 = 67,858.50 : x
2. Step 2: Convert to fraction form
   31,743/67,858.50 = 67,858.50/x
3. Step 3: Cross multiply
   31,743x = 67,858.50 × 67,858.50
4. Step 4: Simplify right side
   31,743x = 4,604,776,022.25
5. Step 5: Solve for x
   x = 4,604,776,022.25/31,743
6. Step 6: Final answer
   x = 145,064.30