Finding the Third Proportional to 5,122.50 and 10,796.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,122.50 : 10,796.25 = 10,796.25 : x
2. Step 2: Convert to fraction form
   5,122.50/10,796.25 = 10,796.25/x
3. Step 3: Cross multiply
   5,122.50x = 10,796.25 × 10,796.25
4. Step 4: Simplify right side
   5,122.50x = 116,559,014.06
5. Step 5: Solve for x
   x = 116,559,014.06/5,122.50
6. Step 6: Final answer
   x = 22,754.32