Finding the Third Proportional to 30,080 and 65,468

Step by Step Solution

1. Step 1: Write the proportion equation
   30,080 : 65,468 = 65,468 : x
2. Step 2: Convert to fraction form
   30,080/65,468 = 65,468/x
3. Step 3: Cross multiply
   30,080x = 65,468 × 65,468
4. Step 4: Simplify right side
   30,080x = 4,286,059,024
5. Step 5: Solve for x
   x = 4,286,059,024/30,080
6. Step 6: Final answer
   x = 142,488.66