Finding the Third Proportional to 16,088 and 35,344

Step by Step Solution

1. Step 1: Write the proportion equation
   16,088 : 35,344 = 35,344 : x
2. Step 2: Convert to fraction form
   16,088/35,344 = 35,344/x
3. Step 3: Cross multiply
   16,088x = 35,344 × 35,344
4. Step 4: Simplify right side
   16,088x = 1,249,198,336
5. Step 5: Solve for x
   x = 1,249,198,336/16,088
6. Step 6: Final answer
   x = 77,647.83