Finding the Third Proportional to 35,400 and 71,826

Step by Step Solution

1. Step 1: Write the proportion equation
   35,400 : 71,826 = 71,826 : x
2. Step 2: Convert to fraction form
   35,400/71,826 = 71,826/x
3. Step 3: Cross multiply
   35,400x = 71,826 × 71,826
4. Step 4: Simplify right side
   35,400x = 5,158,974,276
5. Step 5: Solve for x
   x = 5,158,974,276/35,400
6. Step 6: Final answer
   x = 145,733.74