Finding the Third Proportional to 10,180.13 and 13,511.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180.13 : 13,511.81 = 13,511.81 : x
2. Step 2: Convert to fraction form
   10,180.13/13,511.81 = 13,511.81/x
3. Step 3: Cross multiply
   10,180.13x = 13,511.81 × 13,511.81
4. Step 4: Simplify right side
   10,180.13x = 182,569,077.04
5. Step 5: Solve for x
   x = 182,569,077.04/10,180.13
6. Step 6: Final answer
   x = 17,933.87