Finding the Third Proportional to 13,569.75 and 21,538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,569.75 : 21,538.69 = 21,538.69 : x
2. Step 2: Convert to fraction form
   13,569.75/21,538.69 = 21,538.69/x
3. Step 3: Cross multiply
   13,569.75x = 21,538.69 × 21,538.69
4. Step 4: Simplify right side
   13,569.75x = 463,915,059.22
5. Step 5: Solve for x
   x = 463,915,059.22/13,569.75
6. Step 6: Final answer
   x = 34,187.44