Finding the Third Proportional to 14,219 and 33,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,219 : 33,217.50 = 33,217.50 : x
2. Step 2: Convert to fraction form
   14,219/33,217.50 = 33,217.50/x
3. Step 3: Cross multiply
   14,219x = 33,217.50 × 33,217.50
4. Step 4: Simplify right side
   14,219x = 1,103,402,306.25
5. Step 5: Solve for x
   x = 1,103,402,306.25/14,219
6. Step 6: Final answer
   x = 77,600.56