Finding the Third Proportional to 11,801.81 and 21,165.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,801.81 : 21,165.75 = 21,165.75 : x
2. Step 2: Convert to fraction form
   11,801.81/21,165.75 = 21,165.75/x
3. Step 3: Cross multiply
   11,801.81x = 21,165.75 × 21,165.75
4. Step 4: Simplify right side
   11,801.81x = 447,988,973.06
5. Step 5: Solve for x
   x = 447,988,973.06/11,801.81
6. Step 6: Final answer
   x = 37,959.34