Finding the Third Proportional to 6,189 and 12,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,189 : 12,064.50 = 12,064.50 : x
2. Step 2: Convert to fraction form
   6,189/12,064.50 = 12,064.50/x
3. Step 3: Cross multiply
   6,189x = 12,064.50 × 12,064.50
4. Step 4: Simplify right side
   6,189x = 145,552,160.25
5. Step 5: Solve for x
   x = 145,552,160.25/6,189
6. Step 6: Final answer
   x = 23,517.88