Finding the Third Proportional to 35,401 and 77,242

Step by Step Solution

1. Step 1: Write the proportion equation
   35,401 : 77,242 = 77,242 : x
2. Step 2: Convert to fraction form
   35,401/77,242 = 77,242/x
3. Step 3: Cross multiply
   35,401x = 77,242 × 77,242
4. Step 4: Simplify right side
   35,401x = 5,966,326,564
5. Step 5: Solve for x
   x = 5,966,326,564/35,401
6. Step 6: Final answer
   x = 168,535.54