Finding the Third Proportional to 33,639.75 and 79,298.06

Step by Step Solution

1. Step 1: Write the proportion equation
   33,639.75 : 79,298.06 = 79,298.06 : x
2. Step 2: Convert to fraction form
   33,639.75/79,298.06 = 79,298.06/x
3. Step 3: Cross multiply
   33,639.75x = 79,298.06 × 79,298.06
4. Step 4: Simplify right side
   33,639.75x = 6,288,182,716.25
5. Step 5: Solve for x
   x = 6,288,182,716.25/33,639.75
6. Step 6: Final answer
   x = 186,927.15