Finding the Third Proportional to 31,090 and 67,697

Step by Step Solution

1. Step 1: Write the proportion equation
   31,090 : 67,697 = 67,697 : x
2. Step 2: Convert to fraction form
   31,090/67,697 = 67,697/x
3. Step 3: Cross multiply
   31,090x = 67,697 × 67,697
4. Step 4: Simplify right side
   31,090x = 4,582,883,809
5. Step 5: Solve for x
   x = 4,582,883,809/31,090
6. Step 6: Final answer
   x = 147,407.01