Finding the Third Proportional to 35,580 and 77,004

Step by Step Solution

1. Step 1: Write the proportion equation
   35,580 : 77,004 = 77,004 : x
2. Step 2: Convert to fraction form
   35,580/77,004 = 77,004/x
3. Step 3: Cross multiply
   35,580x = 77,004 × 77,004
4. Step 4: Simplify right side
   35,580x = 5,929,616,016
5. Step 5: Solve for x
   x = 5,929,616,016/35,580
6. Step 6: Final answer
   x = 166,655.87