Finding the Third Proportional to 16,281 and 35,678.81

Step by Step Solution

1. Step 1: Write the proportion equation
   16,281 : 35,678.81 = 35,678.81 : x
2. Step 2: Convert to fraction form
   16,281/35,678.81 = 35,678.81/x
3. Step 3: Cross multiply
   16,281x = 35,678.81 × 35,678.81
4. Step 4: Simplify right side
   16,281x = 1,272,977,661.41
5. Step 5: Solve for x
   x = 1,272,977,661.41/16,281
6. Step 6: Final answer
   x = 78,187.93