Finding the Third Proportional to 13,569.47 and 21,538.22

Step by Step Solution

1. Step 1: Write the proportion equation
   13,569.47 : 21,538.22 = 21,538.22 : x
2. Step 2: Convert to fraction form
   13,569.47/21,538.22 = 21,538.22/x
3. Step 3: Cross multiply
   13,569.47x = 21,538.22 × 21,538.22
4. Step 4: Simplify right side
   13,569.47x = 463,894,866.92
5. Step 5: Solve for x
   x = 463,894,866.92/13,569.47
6. Step 6: Final answer
   x = 34,186.66