Finding the Third Proportional to 10,288.50 and 22,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,288.50 : 22,138.50 = 22,138.50 : x
2. Step 2: Convert to fraction form
   10,288.50/22,138.50 = 22,138.50/x
3. Step 3: Cross multiply
   10,288.50x = 22,138.50 × 22,138.50
4. Step 4: Simplify right side
   10,288.50x = 490,113,182.25
5. Step 5: Solve for x
   x = 490,113,182.25/10,288.50
6. Step 6: Final answer
   x = 47,636.99