Finding the Third Proportional to 2,136.38 and 3,746.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,136.38 : 3,746.25 = 3,746.25 : x
2. Step 2: Convert to fraction form
   2,136.38/3,746.25 = 3,746.25/x
3. Step 3: Cross multiply
   2,136.38x = 3,746.25 × 3,746.25
4. Step 4: Simplify right side
   2,136.38x = 14,034,389.06
5. Step 5: Solve for x
   x = 14,034,389.06/2,136.38
6. Step 6: Final answer
   x = 6,569.25