Finding the Third Proportional to 14,578.50 and 21,870.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,578.50 : 21,870.75 = 21,870.75 : x
2. Step 2: Convert to fraction form
   14,578.50/21,870.75 = 21,870.75/x
3. Step 3: Cross multiply
   14,578.50x = 21,870.75 × 21,870.75
4. Step 4: Simplify right side
   14,578.50x = 478,329,705.56
5. Step 5: Solve for x
   x = 478,329,705.56/14,578.50
6. Step 6: Final answer
   x = 32,810.63