Finding the Third Proportional to 13,302 and 19,837.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,302 : 19,837.69 = 19,837.69 : x
2. Step 2: Convert to fraction form
   13,302/19,837.69 = 19,837.69/x
3. Step 3: Cross multiply
   13,302x = 19,837.69 × 19,837.69
4. Step 4: Simplify right side
   13,302x = 393,533,845.35
5. Step 5: Solve for x
   x = 393,533,845.35/13,302
6. Step 6: Final answer
   x = 29,584.56