Finding the Third Proportional to 15,823.50 and 23,771.25

Step by Step Solution

1. Step 1: Write the proportion equation
   15,823.50 : 23,771.25 = 23,771.25 : x
2. Step 2: Convert to fraction form
   15,823.50/23,771.25 = 23,771.25/x
3. Step 3: Cross multiply
   15,823.50x = 23,771.25 × 23,771.25
4. Step 4: Simplify right side
   15,823.50x = 565,072,326.56
5. Step 5: Solve for x
   x = 565,072,326.56/15,823.50
6. Step 6: Final answer
   x = 35,710.96