Finding the Third Proportional to 2,175.75 and 3,191.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,175.75 : 3,191.63 = 3,191.63 : x
2. Step 2: Convert to fraction form
   2,175.75/3,191.63 = 3,191.63/x
3. Step 3: Cross multiply
   2,175.75x = 3,191.63 × 3,191.63
4. Step 4: Simplify right side
   2,175.75x = 10,186,470.14
5. Step 5: Solve for x
   x = 10,186,470.14/2,175.75
6. Step 6: Final answer
   x = 4,681.82