Finding the Third Proportional to 16,088 and 35,348

Step by Step Solution

1. Step 1: Write the proportion equation
   16,088 : 35,348 = 35,348 : x
2. Step 2: Convert to fraction form
   16,088/35,348 = 35,348/x
3. Step 3: Cross multiply
   16,088x = 35,348 × 35,348
4. Step 4: Simplify right side
   16,088x = 1,249,481,104
5. Step 5: Solve for x
   x = 1,249,481,104/16,088
6. Step 6: Final answer
   x = 77,665.41