Finding the Third Proportional to 19,464 and 22,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,464 : 22,123.50 = 22,123.50 : x
2. Step 2: Convert to fraction form
   19,464/22,123.50 = 22,123.50/x
3. Step 3: Cross multiply
   19,464x = 22,123.50 × 22,123.50
4. Step 4: Simplify right side
   19,464x = 489,449,252.25
5. Step 5: Solve for x
   x = 489,449,252.25/19,464
6. Step 6: Final answer
   x = 25,146.39