Finding the Third Proportional to 4,091.34 and 8,962.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,091.34 : 8,962.31 = 8,962.31 : x
2. Step 2: Convert to fraction form
   4,091.34/8,962.31 = 8,962.31/x
3. Step 3: Cross multiply
   4,091.34x = 8,962.31 × 8,962.31
4. Step 4: Simplify right side
   4,091.34x = 80,323,045.35
5. Step 5: Solve for x
   x = 80,323,045.35/4,091.34
6. Step 6: Final answer
   x = 19,632.44