Finding the Third Proportional to 16,190 and 35,386

Step by Step Solution

1. Step 1: Write the proportion equation
   16,190 : 35,386 = 35,386 : x
2. Step 2: Convert to fraction form
   16,190/35,386 = 35,386/x
3. Step 3: Cross multiply
   16,190x = 35,386 × 35,386
4. Step 4: Simplify right side
   16,190x = 1,252,168,996
5. Step 5: Solve for x
   x = 1,252,168,996/16,190
6. Step 6: Final answer
   x = 77,342.12