Finding the Third Proportional to 17,856 and 25,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 25,114.50 = 25,114.50 : x
2. Step 2: Convert to fraction form
   17,856/25,114.50 = 25,114.50/x
3. Step 3: Cross multiply
   17,856x = 25,114.50 × 25,114.50
4. Step 4: Simplify right side
   17,856x = 630,738,110.25
5. Step 5: Solve for x
   x = 630,738,110.25/17,856
6. Step 6: Final answer
   x = 35,323.59