Finding the Third Proportional to 16,276 and 35,535

Step by Step Solution

1. Step 1: Write the proportion equation
   16,276 : 35,535 = 35,535 : x
2. Step 2: Convert to fraction form
   16,276/35,535 = 35,535/x
3. Step 3: Cross multiply
   16,276x = 35,535 × 35,535
4. Step 4: Simplify right side
   16,276x = 1,262,736,225
5. Step 5: Solve for x
   x = 1,262,736,225/16,276
6. Step 6: Final answer
   x = 77,582.71