Finding the Third Proportional to 35,574 and 77,412

Step by Step Solution

1. Step 1: Write the proportion equation
   35,574 : 77,412 = 77,412 : x
2. Step 2: Convert to fraction form
   35,574/77,412 = 77,412/x
3. Step 3: Cross multiply
   35,574x = 77,412 × 77,412
4. Step 4: Simplify right side
   35,574x = 5,992,617,744
5. Step 5: Solve for x
   x = 5,992,617,744/35,574
6. Step 6: Final answer
   x = 168,454.99