Finding the Third Proportional to 31,304 and 65,840

Step by Step Solution

1. Step 1: Write the proportion equation
   31,304 : 65,840 = 65,840 : x
2. Step 2: Convert to fraction form
   31,304/65,840 = 65,840/x
3. Step 3: Cross multiply
   31,304x = 65,840 × 65,840
4. Step 4: Simplify right side
   31,304x = 4,334,905,600
5. Step 5: Solve for x
   x = 4,334,905,600/31,304
6. Step 6: Final answer
   x = 138,477.69