Finding the Third Proportional to 10,363.50 and 13,506.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.50 : 13,506.75 = 13,506.75 : x
2. Step 2: Convert to fraction form
   10,363.50/13,506.75 = 13,506.75/x
3. Step 3: Cross multiply
   10,363.50x = 13,506.75 × 13,506.75
4. Step 4: Simplify right side
   10,363.50x = 182,432,295.56
5. Step 5: Solve for x
   x = 182,432,295.56/10,363.50
6. Step 6: Final answer
   x = 17,603.35