Finding the Third Proportional to 5,423.63 and 7,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,423.63 : 7,681.50 = 7,681.50 : x
2. Step 2: Convert to fraction form
   5,423.63/7,681.50 = 7,681.50/x
3. Step 3: Cross multiply
   5,423.63x = 7,681.50 × 7,681.50
4. Step 4: Simplify right side
   5,423.63x = 59,005,442.25
5. Step 5: Solve for x
   x = 59,005,442.25/5,423.63
6. Step 6: Final answer
   x = 10,879.34