Finding the Third Proportional to 13,780.13 and 27,195.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,780.13 : 27,195.75 = 27,195.75 : x
2. Step 2: Convert to fraction form
   13,780.13/27,195.75 = 27,195.75/x
3. Step 3: Cross multiply
   13,780.13x = 27,195.75 × 27,195.75
4. Step 4: Simplify right side
   13,780.13x = 739,608,818.06
5. Step 5: Solve for x
   x = 739,608,818.06/13,780.13
6. Step 6: Final answer
   x = 53,672.14