Finding the Third Proportional to 31,760 and 67,737

Step by Step Solution

1. Step 1: Write the proportion equation
   31,760 : 67,737 = 67,737 : x
2. Step 2: Convert to fraction form
   31,760/67,737 = 67,737/x
3. Step 3: Cross multiply
   31,760x = 67,737 × 67,737
4. Step 4: Simplify right side
   31,760x = 4,588,301,169
5. Step 5: Solve for x
   x = 4,588,301,169/31,760
6. Step 6: Final answer
   x = 144,467.92