Finding the Third Proportional to 13,158 and 19,674.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,158 : 19,674.75 = 19,674.75 : x
2. Step 2: Convert to fraction form
   13,158/19,674.75 = 19,674.75/x
3. Step 3: Cross multiply
   13,158x = 19,674.75 × 19,674.75
4. Step 4: Simplify right side
   13,158x = 387,095,787.56
5. Step 5: Solve for x
   x = 387,095,787.56/13,158
6. Step 6: Final answer
   x = 29,419.04