Finding the Third Proportional to 7,581.38 and 16,538.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,581.38 : 16,538.63 = 16,538.63 : x
2. Step 2: Convert to fraction form
   7,581.38/16,538.63 = 16,538.63/x
3. Step 3: Cross multiply
   7,581.38x = 16,538.63 × 16,538.63
4. Step 4: Simplify right side
   7,581.38x = 273,526,116.89
5. Step 5: Solve for x
   x = 273,526,116.89/7,581.38
6. Step 6: Final answer
   x = 36,078.70