Finding the Third Proportional to 1,530.56 and 2,136.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.56 : 2,136.38 = 2,136.38 : x
2. Step 2: Convert to fraction form
   1,530.56/2,136.38 = 2,136.38/x
3. Step 3: Cross multiply
   1,530.56x = 2,136.38 × 2,136.38
4. Step 4: Simplify right side
   1,530.56x = 4,564,098.14
5. Step 5: Solve for x
   x = 4,564,098.14/1,530.56
6. Step 6: Final answer
   x = 2,981.97