Finding the Third Proportional to 9,478 and 22,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,478 : 22,142.50 = 22,142.50 : x
2. Step 2: Convert to fraction form
   9,478/22,142.50 = 22,142.50/x
3. Step 3: Cross multiply
   9,478x = 22,142.50 × 22,142.50
4. Step 4: Simplify right side
   9,478x = 490,290,306.25
5. Step 5: Solve for x
   x = 490,290,306.25/9,478
6. Step 6: Final answer
   x = 51,729.30