Finding the Third Proportional to 10,952.50 and 23,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,952.50 : 23,819.50 = 23,819.50 : x
2. Step 2: Convert to fraction form
   10,952.50/23,819.50 = 23,819.50/x
3. Step 3: Cross multiply
   10,952.50x = 23,819.50 × 23,819.50
4. Step 4: Simplify right side
   10,952.50x = 567,368,580.25
5. Step 5: Solve for x
   x = 567,368,580.25/10,952.50
6. Step 6: Final answer
   x = 51,802.66