Finding the Third Proportional to 35,816 and 49,182

Step by Step Solution

1. Step 1: Write the proportion equation
   35,816 : 49,182 = 49,182 : x
2. Step 2: Convert to fraction form
   35,816/49,182 = 49,182/x
3. Step 3: Cross multiply
   35,816x = 49,182 × 49,182
4. Step 4: Simplify right side
   35,816x = 2,418,869,124
5. Step 5: Solve for x
   x = 2,418,869,124/35,816
6. Step 6: Final answer
   x = 67,535.99