Finding the Third Proportional to 32,080 and 49,578

Step by Step Solution

1. Step 1: Write the proportion equation
   32,080 : 49,578 = 49,578 : x
2. Step 2: Convert to fraction form
   32,080/49,578 = 49,578/x
3. Step 3: Cross multiply
   32,080x = 49,578 × 49,578
4. Step 4: Simplify right side
   32,080x = 2,457,978,084
5. Step 5: Solve for x
   x = 2,457,978,084/32,080
6. Step 6: Final answer
   x = 76,620.26