Finding the Third Proportional to 23,822.50 and 35,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,822.50 : 35,020.50 = 35,020.50 : x
2. Step 2: Convert to fraction form
   23,822.50/35,020.50 = 35,020.50/x
3. Step 3: Cross multiply
   23,822.50x = 35,020.50 × 35,020.50
4. Step 4: Simplify right side
   23,822.50x = 1,226,435,420.25
5. Step 5: Solve for x
   x = 1,226,435,420.25/23,822.50
6. Step 6: Final answer
   x = 51,482.23