Finding the Third Proportional to 6,306 and 14,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,306 : 14,920.50 = 14,920.50 : x
2. Step 2: Convert to fraction form
   6,306/14,920.50 = 14,920.50/x
3. Step 3: Cross multiply
   6,306x = 14,920.50 × 14,920.50
4. Step 4: Simplify right side
   6,306x = 222,621,320.25
5. Step 5: Solve for x
   x = 222,621,320.25/6,306
6. Step 6: Final answer
   x = 35,303.10