Finding the Third Proportional to 5,123.25 and 9,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,123.25 : 9,922.50 = 9,922.50 : x
2. Step 2: Convert to fraction form
   5,123.25/9,922.50 = 9,922.50/x
3. Step 3: Cross multiply
   5,123.25x = 9,922.50 × 9,922.50
4. Step 4: Simplify right side
   5,123.25x = 98,456,006.25
5. Step 5: Solve for x
   x = 98,456,006.25/5,123.25
6. Step 6: Final answer
   x = 19,217.49