Finding the Third Proportional to 5,394 and 7,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,394 : 7,699.50 = 7,699.50 : x
2. Step 2: Convert to fraction form
   5,394/7,699.50 = 7,699.50/x
3. Step 3: Cross multiply
   5,394x = 7,699.50 × 7,699.50
4. Step 4: Simplify right side
   5,394x = 59,282,300.25
5. Step 5: Solve for x
   x = 59,282,300.25/5,394
6. Step 6: Final answer
   x = 10,990.42