Finding the Third Proportional to 31,765 and 67,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,765 : 67,638.50 = 67,638.50 : x
2. Step 2: Convert to fraction form
   31,765/67,638.50 = 67,638.50/x
3. Step 3: Cross multiply
   31,765x = 67,638.50 × 67,638.50
4. Step 4: Simplify right side
   31,765x = 4,574,966,682.25
5. Step 5: Solve for x
   x = 4,574,966,682.25/31,765
6. Step 6: Final answer
   x = 144,025.40