Finding the Third Proportional to 10,602 and 17,787

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602 : 17,787 = 17,787 : x
2. Step 2: Convert to fraction form
   10,602/17,787 = 17,787/x
3. Step 3: Cross multiply
   10,602x = 17,787 × 17,787
4. Step 4: Simplify right side
   10,602x = 316,377,369
5. Step 5: Solve for x
   x = 316,377,369/10,602
6. Step 6: Final answer
   x = 29,841.29