Finding the Third Proportional to 36,677.81 and 76,226.06

Step by Step Solution

1. Step 1: Write the proportion equation
   36,677.81 : 76,226.06 = 76,226.06 : x
2. Step 2: Convert to fraction form
   36,677.81/76,226.06 = 76,226.06/x
3. Step 3: Cross multiply
   36,677.81x = 76,226.06 × 76,226.06
4. Step 4: Simplify right side
   36,677.81x = 5,810,412,604.25
5. Step 5: Solve for x
   x = 5,810,412,604.25/36,677.81
6. Step 6: Final answer
   x = 158,417.64