Finding the Third Proportional to 13,810.50 and 23,780.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,810.50 : 23,780.25 = 23,780.25 : x
2. Step 2: Convert to fraction form
   13,810.50/23,780.25 = 23,780.25/x
3. Step 3: Cross multiply
   13,810.50x = 23,780.25 × 23,780.25
4. Step 4: Simplify right side
   13,810.50x = 565,500,290.06
5. Step 5: Solve for x
   x = 565,500,290.06/13,810.50
6. Step 6: Final answer
   x = 40,947.13