Finding the Third Proportional to 6,152.63 and 8,211.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,152.63 : 8,211.38 = 8,211.38 : x
2. Step 2: Convert to fraction form
   6,152.63/8,211.38 = 8,211.38/x
3. Step 3: Cross multiply
   6,152.63x = 8,211.38 × 8,211.38
4. Step 4: Simplify right side
   6,152.63x = 67,426,679.39
5. Step 5: Solve for x
   x = 67,426,679.39/6,152.63
6. Step 6: Final answer
   x = 10,959.01