Finding the Third Proportional to 13,537.13 and 21,763.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,537.13 : 21,763.69 = 21,763.69 : x
2. Step 2: Convert to fraction form
   13,537.13/21,763.69 = 21,763.69/x
3. Step 3: Cross multiply
   13,537.13x = 21,763.69 × 21,763.69
4. Step 4: Simplify right side
   13,537.13x = 473,658,093.60
5. Step 5: Solve for x
   x = 473,658,093.60/13,537.13
6. Step 6: Final answer
   x = 34,989.56