Finding the Third Proportional to 37,004 and 77,080

Step by Step Solution

1. Step 1: Write the proportion equation
   37,004 : 77,080 = 77,080 : x
2. Step 2: Convert to fraction form
   37,004/77,080 = 77,080/x
3. Step 3: Cross multiply
   37,004x = 77,080 × 77,080
4. Step 4: Simplify right side
   37,004x = 5,941,326,400
5. Step 5: Solve for x
   x = 5,941,326,400/37,004
6. Step 6: Final answer
   x = 160,559.03