Finding the Third Proportional to 5,834.91 and 8,756.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,834.91 : 8,756.63 = 8,756.63 : x
2. Step 2: Convert to fraction form
   5,834.91/8,756.63 = 8,756.63/x
3. Step 3: Cross multiply
   5,834.91x = 8,756.63 × 8,756.63
4. Step 4: Simplify right side
   5,834.91x = 76,678,481.39
5. Step 5: Solve for x
   x = 76,678,481.39/5,834.91
6. Step 6: Final answer
   x = 13,141.34