Finding the Third Proportional to 31,340 and 65,260

Step by Step Solution

1. Step 1: Write the proportion equation
   31,340 : 65,260 = 65,260 : x
2. Step 2: Convert to fraction form
   31,340/65,260 = 65,260/x
3. Step 3: Cross multiply
   31,340x = 65,260 × 65,260
4. Step 4: Simplify right side
   31,340x = 4,258,867,600
5. Step 5: Solve for x
   x = 4,258,867,600/31,340
6. Step 6: Final answer
   x = 135,892.39