Finding the Third Proportional to 10,189.13 and 13,712.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.13 : 13,712.63 = 13,712.63 : x
2. Step 2: Convert to fraction form
   10,189.13/13,712.63 = 13,712.63/x
3. Step 3: Cross multiply
   10,189.13x = 13,712.63 × 13,712.63
4. Step 4: Simplify right side
   10,189.13x = 188,036,084.39
5. Step 5: Solve for x
   x = 188,036,084.39/10,189.13
6. Step 6: Final answer
   x = 18,454.59