Finding the Third Proportional to 2,290.88 and 4,877.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,290.88 : 4,877.63 = 4,877.63 : x
2. Step 2: Convert to fraction form
   2,290.88/4,877.63 = 4,877.63/x
3. Step 3: Cross multiply
   2,290.88x = 4,877.63 × 4,877.63
4. Step 4: Simplify right side
   2,290.88x = 23,791,225.64
5. Step 5: Solve for x
   x = 23,791,225.64/2,290.88
6. Step 6: Final answer
   x = 10,385.21