Finding the Third Proportional to 5,887.69 and 8,642.95

Step by Step Solution

1. Step 1: Write the proportion equation
   5,887.69 : 8,642.95 = 8,642.95 : x
2. Step 2: Convert to fraction form
   5,887.69/8,642.95 = 8,642.95/x
3. Step 3: Cross multiply
   5,887.69x = 8,642.95 × 8,642.95
4. Step 4: Simplify right side
   5,887.69x = 74,700,638.72
5. Step 5: Solve for x
   x = 74,700,638.72/5,887.69
6. Step 6: Final answer
   x = 12,687.60