Finding the Third Proportional to 3,537.56 and 5,109.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,537.56 : 5,109.94 = 5,109.94 : x
2. Step 2: Convert to fraction form
   3,537.56/5,109.94 = 5,109.94/x
3. Step 3: Cross multiply
   3,537.56x = 5,109.94 × 5,109.94
4. Step 4: Simplify right side
   3,537.56x = 26,111,461.25
5. Step 5: Solve for x
   x = 26,111,461.25/3,537.56
6. Step 6: Final answer
   x = 7,381.20