Finding the Third Proportional to 10,076.91 and 13,680.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.91 : 13,680.14 = 13,680.14 : x
2. Step 2: Convert to fraction form
   10,076.91/13,680.14 = 13,680.14/x
3. Step 3: Cross multiply
   10,076.91x = 13,680.14 × 13,680.14
4. Step 4: Simplify right side
   10,076.91x = 187,146,247.52
5. Step 5: Solve for x
   x = 187,146,247.52/10,076.91
6. Step 6: Final answer
   x = 18,571.80