Finding the Third Proportional to 23,769 and 35,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,769 : 35,617.50 = 35,617.50 : x
2. Step 2: Convert to fraction form
   23,769/35,617.50 = 35,617.50/x
3. Step 3: Cross multiply
   23,769x = 35,617.50 × 35,617.50
4. Step 4: Simplify right side
   23,769x = 1,268,606,306.25
5. Step 5: Solve for x
   x = 1,268,606,306.25/23,769
6. Step 6: Final answer
   x = 53,372.30