Finding the Third Proportional to 10,582.50 and 23,253.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.50 : 23,253.75 = 23,253.75 : x
2. Step 2: Convert to fraction form
   10,582.50/23,253.75 = 23,253.75/x
3. Step 3: Cross multiply
   10,582.50x = 23,253.75 × 23,253.75
4. Step 4: Simplify right side
   10,582.50x = 540,736,889.06
5. Step 5: Solve for x
   x = 540,736,889.06/10,582.50
6. Step 6: Final answer
   x = 51,097.27