Finding the Third Proportional to 35,508 and 77,372

Step by Step Solution

1. Step 1: Write the proportion equation
   35,508 : 77,372 = 77,372 : x
2. Step 2: Convert to fraction form
   35,508/77,372 = 77,372/x
3. Step 3: Cross multiply
   35,508x = 77,372 × 77,372
4. Step 4: Simplify right side
   35,508x = 5,986,426,384
5. Step 5: Solve for x
   x = 5,986,426,384/35,508
6. Step 6: Final answer
   x = 168,593.74