Finding the Third Proportional to 10,175.75 and 21,695.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,175.75 : 21,695.59 = 21,695.59 : x
2. Step 2: Convert to fraction form
   10,175.75/21,695.59 = 21,695.59/x
3. Step 3: Cross multiply
   10,175.75x = 21,695.59 × 21,695.59
4. Step 4: Simplify right side
   10,175.75x = 470,698,788.17
5. Step 5: Solve for x
   x = 470,698,788.17/10,175.75
6. Step 6: Final answer
   x = 46,256.91