Finding the Third Proportional to 14,184 and 33,468.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,184 : 33,468.75 = 33,468.75 : x
2. Step 2: Convert to fraction form
   14,184/33,468.75 = 33,468.75/x
3. Step 3: Cross multiply
   14,184x = 33,468.75 × 33,468.75
4. Step 4: Simplify right side
   14,184x = 1,120,157,226.56
5. Step 5: Solve for x
   x = 1,120,157,226.56/14,184
6. Step 6: Final answer
   x = 78,973.30