Finding the Third Proportional to 12,182.06 and 19,381.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,182.06 : 19,381.78 = 19,381.78 : x
2. Step 2: Convert to fraction form
   12,182.06/19,381.78 = 19,381.78/x
3. Step 3: Cross multiply
   12,182.06x = 19,381.78 × 19,381.78
4. Step 4: Simplify right side
   12,182.06x = 375,653,444.42
5. Step 5: Solve for x
   x = 375,653,444.42/12,182.06
6. Step 6: Final answer
   x = 30,836.60