Finding the Third Proportional to 4,810.64 and 7,196.77

Step by Step Solution

1. Step 1: Write the proportion equation
   4,810.64 : 7,196.77 = 7,196.77 : x
2. Step 2: Convert to fraction form
   4,810.64/7,196.77 = 7,196.77/x
3. Step 3: Cross multiply
   4,810.64x = 7,196.77 × 7,196.77
4. Step 4: Simplify right side
   4,810.64x = 51,793,435.46
5. Step 5: Solve for x
   x = 51,793,435.46/4,810.64
6. Step 6: Final answer
   x = 10,766.43