Finding the Third Proportional to 16,259 and 35,492

Step by Step Solution

1. Step 1: Write the proportion equation
   16,259 : 35,492 = 35,492 : x
2. Step 2: Convert to fraction form
   16,259/35,492 = 35,492/x
3. Step 3: Cross multiply
   16,259x = 35,492 × 35,492
4. Step 4: Simplify right side
   16,259x = 1,259,682,064
5. Step 5: Solve for x
   x = 1,259,682,064/16,259
6. Step 6: Final answer
   x = 77,475.99