Finding the Third Proportional to 11,810 and 17,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,810 : 17,563.50 = 17,563.50 : x
2. Step 2: Convert to fraction form
   11,810/17,563.50 = 17,563.50/x
3. Step 3: Cross multiply
   11,810x = 17,563.50 × 17,563.50
4. Step 4: Simplify right side
   11,810x = 308,476,532.25
5. Step 5: Solve for x
   x = 308,476,532.25/11,810
6. Step 6: Final answer
   x = 26,119.94