Finding the Third Proportional to 13,133.75 and 19,714.13

Step by Step Solution

1. Step 1: Write the proportion equation
   13,133.75 : 19,714.13 = 19,714.13 : x
2. Step 2: Convert to fraction form
   13,133.75/19,714.13 = 19,714.13/x
3. Step 3: Cross multiply
   13,133.75x = 19,714.13 × 19,714.13
4. Step 4: Simplify right side
   13,133.75x = 388,646,724.52
5. Step 5: Solve for x
   x = 388,646,724.52/13,133.75
6. Step 6: Final answer
   x = 29,591.45