Finding the Third Proportional to 14,574 and 19,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,574 : 19,531.50 = 19,531.50 : x
2. Step 2: Convert to fraction form
   14,574/19,531.50 = 19,531.50/x
3. Step 3: Cross multiply
   14,574x = 19,531.50 × 19,531.50
4. Step 4: Simplify right side
   14,574x = 381,479,492.25
5. Step 5: Solve for x
   x = 381,479,492.25/14,574
6. Step 6: Final answer
   x = 26,175.35