Finding the Third Proportional to 17,838 and 25,710.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,838 : 25,710.75 = 25,710.75 : x
2. Step 2: Convert to fraction form
   17,838/25,710.75 = 25,710.75/x
3. Step 3: Cross multiply
   17,838x = 25,710.75 × 25,710.75
4. Step 4: Simplify right side
   17,838x = 661,042,665.56
5. Step 5: Solve for x
   x = 661,042,665.56/17,838
6. Step 6: Final answer
   x = 37,058.12