Finding the Third Proportional to 10,507.50 and 22,851

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.50 : 22,851 = 22,851 : x
2. Step 2: Convert to fraction form
   10,507.50/22,851 = 22,851/x
3. Step 3: Cross multiply
   10,507.50x = 22,851 × 22,851
4. Step 4: Simplify right side
   10,507.50x = 522,168,201
5. Step 5: Solve for x
   x = 522,168,201/10,507.50
6. Step 6: Final answer
   x = 49,694.81