Finding the Third Proportional to 23,699.50 and 35,699.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,699.50 : 35,699.75 = 35,699.75 : x
2. Step 2: Convert to fraction form
   23,699.50/35,699.75 = 35,699.75/x
3. Step 3: Cross multiply
   23,699.50x = 35,699.75 × 35,699.75
4. Step 4: Simplify right side
   23,699.50x = 1,274,472,150.06
5. Step 5: Solve for x
   x = 1,274,472,150.06/23,699.50
6. Step 6: Final answer
   x = 53,776.33