Finding the Third Proportional to 35,165 and 77,006

Step by Step Solution

1. Step 1: Write the proportion equation
   35,165 : 77,006 = 77,006 : x
2. Step 2: Convert to fraction form
   35,165/77,006 = 77,006/x
3. Step 3: Cross multiply
   35,165x = 77,006 × 77,006
4. Step 4: Simplify right side
   35,165x = 5,929,924,036
5. Step 5: Solve for x
   x = 5,929,924,036/35,165
6. Step 6: Final answer
   x = 168,631.42