Finding the Third Proportional to 1,538.38 and 3,295.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.38 : 3,295.63 = 3,295.63 : x
2. Step 2: Convert to fraction form
   1,538.38/3,295.63 = 3,295.63/x
3. Step 3: Cross multiply
   1,538.38x = 3,295.63 × 3,295.63
4. Step 4: Simplify right side
   1,538.38x = 10,861,144.14
5. Step 5: Solve for x
   x = 10,861,144.14/1,538.38
6. Step 6: Final answer
   x = 7,060.14