Finding the Third Proportional to 35,496 and 77,288

Step by Step Solution

1. Step 1: Write the proportion equation
   35,496 : 77,288 = 77,288 : x
2. Step 2: Convert to fraction form
   35,496/77,288 = 77,288/x
3. Step 3: Cross multiply
   35,496x = 77,288 × 77,288
4. Step 4: Simplify right side
   35,496x = 5,973,434,944
5. Step 5: Solve for x
   x = 5,973,434,944/35,496
6. Step 6: Final answer
   x = 168,284.73