Finding the Third Proportional to 31,402 and 65,360

Step by Step Solution

1. Step 1: Write the proportion equation
   31,402 : 65,360 = 65,360 : x
2. Step 2: Convert to fraction form
   31,402/65,360 = 65,360/x
3. Step 3: Cross multiply
   31,402x = 65,360 × 65,360
4. Step 4: Simplify right side
   31,402x = 4,271,929,600
5. Step 5: Solve for x
   x = 4,271,929,600/31,402
6. Step 6: Final answer
   x = 136,040.05