Finding the Third Proportional to 16,386 and 35,688

Step by Step Solution

1. Step 1: Write the proportion equation
   16,386 : 35,688 = 35,688 : x
2. Step 2: Convert to fraction form
   16,386/35,688 = 35,688/x
3. Step 3: Cross multiply
   16,386x = 35,688 × 35,688
4. Step 4: Simplify right side
   16,386x = 1,273,633,344
5. Step 5: Solve for x
   x = 1,273,633,344/16,386
6. Step 6: Final answer
   x = 77,726.92