Finding the Third Proportional to 31,085 and 67,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,085 : 67,083.50 = 67,083.50 : x
2. Step 2: Convert to fraction form
   31,085/67,083.50 = 67,083.50/x
3. Step 3: Cross multiply
   31,085x = 67,083.50 × 67,083.50
4. Step 4: Simplify right side
   31,085x = 4,500,195,972.25
5. Step 5: Solve for x
   x = 4,500,195,972.25/31,085
6. Step 6: Final answer
   x = 144,770.66