Finding the Third Proportional to 4,877.72 and 10,585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,877.72 : 10,585.69 = 10,585.69 : x
2. Step 2: Convert to fraction form
   4,877.72/10,585.69 = 10,585.69/x
3. Step 3: Cross multiply
   4,877.72x = 10,585.69 × 10,585.69
4. Step 4: Simplify right side
   4,877.72x = 112,056,779.85
5. Step 5: Solve for x
   x = 112,056,779.85/4,877.72
6. Step 6: Final answer
   x = 22,973.19