Finding the Third Proportional to 17,775 and 25,931.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,775 : 25,931.25 = 25,931.25 : x
2. Step 2: Convert to fraction form
   17,775/25,931.25 = 25,931.25/x
3. Step 3: Cross multiply
   17,775x = 25,931.25 × 25,931.25
4. Step 4: Simplify right side
   17,775x = 672,429,726.56
5. Step 5: Solve for x
   x = 672,429,726.56/17,775
6. Step 6: Final answer
   x = 37,830.08