Finding the Third Proportional to 2,191.59 and 4,754.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,191.59 : 4,754.63 = 4,754.63 : x
2. Step 2: Convert to fraction form
   2,191.59/4,754.63 = 4,754.63/x
3. Step 3: Cross multiply
   2,191.59x = 4,754.63 × 4,754.63
4. Step 4: Simplify right side
   2,191.59x = 22,606,458.89
5. Step 5: Solve for x
   x = 22,606,458.89/2,191.59
6. Step 6: Final answer
   x = 10,315.08