Finding the Third Proportional to 9,784.50 and 22,578

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.50 : 22,578 = 22,578 : x
2. Step 2: Convert to fraction form
   9,784.50/22,578 = 22,578/x
3. Step 3: Cross multiply
   9,784.50x = 22,578 × 22,578
4. Step 4: Simplify right side
   9,784.50x = 509,766,084
5. Step 5: Solve for x
   x = 509,766,084/9,784.50
6. Step 6: Final answer
   x = 52,099.35