Finding the Third Proportional to 10,735.50 and 23,259.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,735.50 : 23,259.75 = 23,259.75 : x
2. Step 2: Convert to fraction form
   10,735.50/23,259.75 = 23,259.75/x
3. Step 3: Cross multiply
   10,735.50x = 23,259.75 × 23,259.75
4. Step 4: Simplify right side
   10,735.50x = 541,015,970.06
5. Step 5: Solve for x
   x = 541,015,970.06/10,735.50
6. Step 6: Final answer
   x = 50,395.04