Finding the Third Proportional to 6,162 and 14,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,162 : 14,878.50 = 14,878.50 : x
2. Step 2: Convert to fraction form
   6,162/14,878.50 = 14,878.50/x
3. Step 3: Cross multiply
   6,162x = 14,878.50 × 14,878.50
4. Step 4: Simplify right side
   6,162x = 221,369,762.25
5. Step 5: Solve for x
   x = 221,369,762.25/6,162
6. Step 6: Final answer
   x = 35,924.99