Finding the Third Proportional to 27,720 and 65,080

Step by Step Solution

1. Step 1: Write the proportion equation
   27,720 : 65,080 = 65,080 : x
2. Step 2: Convert to fraction form
   27,720/65,080 = 65,080/x
3. Step 3: Cross multiply
   27,720x = 65,080 × 65,080
4. Step 4: Simplify right side
   27,720x = 4,235,406,400
5. Step 5: Solve for x
   x = 4,235,406,400/27,720
6. Step 6: Final answer
   x = 152,792.44