Finding the Third Proportional to 5,922 and 8,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,922 : 8,494.50 = 8,494.50 : x
2. Step 2: Convert to fraction form
   5,922/8,494.50 = 8,494.50/x
3. Step 3: Cross multiply
   5,922x = 8,494.50 × 8,494.50
4. Step 4: Simplify right side
   5,922x = 72,156,530.25
5. Step 5: Solve for x
   x = 72,156,530.25/5,922
6. Step 6: Final answer
   x = 12,184.49