Finding the Third Proportional to 23,784 and 35,601.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,784 : 35,601.75 = 35,601.75 : x
2. Step 2: Convert to fraction form
   23,784/35,601.75 = 35,601.75/x
3. Step 3: Cross multiply
   23,784x = 35,601.75 × 35,601.75
4. Step 4: Simplify right side
   23,784x = 1,267,484,603.06
5. Step 5: Solve for x
   x = 1,267,484,603.06/23,784
6. Step 6: Final answer
   x = 53,291.48