Finding the Third Proportional to 17,742 and 28,377

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742 : 28,377 = 28,377 : x
2. Step 2: Convert to fraction form
   17,742/28,377 = 28,377/x
3. Step 3: Cross multiply
   17,742x = 28,377 × 28,377
4. Step 4: Simplify right side
   17,742x = 805,254,129
5. Step 5: Solve for x
   x = 805,254,129/17,742
6. Step 6: Final answer
   x = 45,386.89