Finding the Third Proportional to 4,123.50 and 9,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,123.50 : 9,784.50 = 9,784.50 : x
2. Step 2: Convert to fraction form
   4,123.50/9,784.50 = 9,784.50/x
3. Step 3: Cross multiply
   4,123.50x = 9,784.50 × 9,784.50
4. Step 4: Simplify right side
   4,123.50x = 95,736,440.25
5. Step 5: Solve for x
   x = 95,736,440.25/4,123.50
6. Step 6: Final answer
   x = 23,217.28