Finding the Third Proportional to 3,735.38 and 5,076

Step by Step Solution

1. Step 1: Write the proportion equation
   3,735.38 : 5,076 = 5,076 : x
2. Step 2: Convert to fraction form
   3,735.38/5,076 = 5,076/x
3. Step 3: Cross multiply
   3,735.38x = 5,076 × 5,076
4. Step 4: Simplify right side
   3,735.38x = 25,765,776
5. Step 5: Solve for x
   x = 25,765,776/3,735.38
6. Step 6: Final answer
   x = 6,897.77