Finding the Third Proportional to 11,430 and 17,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,430 : 17,662.50 = 17,662.50 : x
2. Step 2: Convert to fraction form
   11,430/17,662.50 = 17,662.50/x
3. Step 3: Cross multiply
   11,430x = 17,662.50 × 17,662.50
4. Step 4: Simplify right side
   11,430x = 311,963,906.25
5. Step 5: Solve for x
   x = 311,963,906.25/11,430
6. Step 6: Final answer
   x = 27,293.43