Finding the Third Proportional to 35,120 and 77,002

Step by Step Solution

1. Step 1: Write the proportion equation
   35,120 : 77,002 = 77,002 : x
2. Step 2: Convert to fraction form
   35,120/77,002 = 77,002/x
3. Step 3: Cross multiply
   35,120x = 77,002 × 77,002
4. Step 4: Simplify right side
   35,120x = 5,929,308,004
5. Step 5: Solve for x
   x = 5,929,308,004/35,120
6. Step 6: Final answer
   x = 168,829.95