Finding the Third Proportional to 17,736 and 23,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,736 : 23,662.50 = 23,662.50 : x
2. Step 2: Convert to fraction form
   17,736/23,662.50 = 23,662.50/x
3. Step 3: Cross multiply
   17,736x = 23,662.50 × 23,662.50
4. Step 4: Simplify right side
   17,736x = 559,913,906.25
5. Step 5: Solve for x
   x = 559,913,906.25/17,736
6. Step 6: Final answer
   x = 31,569.35