Finding the Third Proportional to 10,812.50 and 23,289.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,812.50 : 23,289.50 = 23,289.50 : x
2. Step 2: Convert to fraction form
   10,812.50/23,289.50 = 23,289.50/x
3. Step 3: Cross multiply
   10,812.50x = 23,289.50 × 23,289.50
4. Step 4: Simplify right side
   10,812.50x = 542,400,810.25
5. Step 5: Solve for x
   x = 542,400,810.25/10,812.50
6. Step 6: Final answer
   x = 50,164.24