Finding the Third Proportional to 10,302.75 and 22,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.75 : 22,198.50 = 22,198.50 : x
2. Step 2: Convert to fraction form
   10,302.75/22,198.50 = 22,198.50/x
3. Step 3: Cross multiply
   10,302.75x = 22,198.50 × 22,198.50
4. Step 4: Simplify right side
   10,302.75x = 492,773,402.25
5. Step 5: Solve for x
   x = 492,773,402.25/10,302.75
6. Step 6: Final answer
   x = 47,829.31