Finding the Third Proportional to 37,665 and 55,080

Step by Step Solution

1. Step 1: Write the proportion equation
   37,665 : 55,080 = 55,080 : x
2. Step 2: Convert to fraction form
   37,665/55,080 = 55,080/x
3. Step 3: Cross multiply
   37,665x = 55,080 × 55,080
4. Step 4: Simplify right side
   37,665x = 3,033,806,400
5. Step 5: Solve for x
   x = 3,033,806,400/37,665
6. Step 6: Final answer
   x = 80,547.10