Finding the Third Proportional to 10,298.25 and 15,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.25 : 15,421.50 = 15,421.50 : x
2. Step 2: Convert to fraction form
   10,298.25/15,421.50 = 15,421.50/x
3. Step 3: Cross multiply
   10,298.25x = 15,421.50 × 15,421.50
4. Step 4: Simplify right side
   10,298.25x = 237,822,662.25
5. Step 5: Solve for x
   x = 237,822,662.25/10,298.25
6. Step 6: Final answer
   x = 23,093.50