Finding the Third Proportional to 14,530.50 and 21,738.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,530.50 : 21,738.75 = 21,738.75 : x
2. Step 2: Convert to fraction form
   14,530.50/21,738.75 = 21,738.75/x
3. Step 3: Cross multiply
   14,530.50x = 21,738.75 × 21,738.75
4. Step 4: Simplify right side
   14,530.50x = 472,573,251.56
5. Step 5: Solve for x
   x = 472,573,251.56/14,530.50
6. Step 6: Final answer
   x = 32,522.85