Finding the Third Proportional to 10,590.75 and 19,136.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.75 : 19,136.25 = 19,136.25 : x
2. Step 2: Convert to fraction form
   10,590.75/19,136.25 = 19,136.25/x
3. Step 3: Cross multiply
   10,590.75x = 19,136.25 × 19,136.25
4. Step 4: Simplify right side
   10,590.75x = 366,196,064.06
5. Step 5: Solve for x
   x = 366,196,064.06/10,590.75
6. Step 6: Final answer
   x = 34,576.97