Finding the Third Proportional to 32,080 and 77,284

Step by Step Solution

1. Step 1: Write the proportion equation
   32,080 : 77,284 = 77,284 : x
2. Step 2: Convert to fraction form
   32,080/77,284 = 77,284/x
3. Step 3: Cross multiply
   32,080x = 77,284 × 77,284
4. Step 4: Simplify right side
   32,080x = 5,972,816,656
5. Step 5: Solve for x
   x = 5,972,816,656/32,080
6. Step 6: Final answer
   x = 186,185.06