Finding the Third Proportional to 4,891.50 and 10,580.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,891.50 : 10,580.63 = 10,580.63 : x
2. Step 2: Convert to fraction form
   4,891.50/10,580.63 = 10,580.63/x
3. Step 3: Cross multiply
   4,891.50x = 10,580.63 × 10,580.63
4. Step 4: Simplify right side
   4,891.50x = 111,949,625.39
5. Step 5: Solve for x
   x = 111,949,625.39/4,891.50
6. Step 6: Final answer
   x = 22,886.56