Finding the Third Proportional to 22,005 and 32,896.13

Step by Step Solution

1. Step 1: Write the proportion equation
   22,005 : 32,896.13 = 32,896.13 : x
2. Step 2: Convert to fraction form
   22,005/32,896.13 = 32,896.13/x
3. Step 3: Cross multiply
   22,005x = 32,896.13 × 32,896.13
4. Step 4: Simplify right side
   22,005x = 1,082,155,040.02
5. Step 5: Solve for x
   x = 1,082,155,040.02/22,005
6. Step 6: Final answer
   x = 49,177.69