Finding the Third Proportional to 10,830 and 22,511.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,830 : 22,511.25 = 22,511.25 : x
2. Step 2: Convert to fraction form
   10,830/22,511.25 = 22,511.25/x
3. Step 3: Cross multiply
   10,830x = 22,511.25 × 22,511.25
4. Step 4: Simplify right side
   10,830x = 506,756,376.56
5. Step 5: Solve for x
   x = 506,756,376.56/10,830
6. Step 6: Final answer
   x = 46,791.91