Finding the Third Proportional to 36,590.50 and 76,052

Step by Step Solution

1. Step 1: Write the proportion equation
   36,590.50 : 76,052 = 76,052 : x
2. Step 2: Convert to fraction form
   36,590.50/76,052 = 76,052/x
3. Step 3: Cross multiply
   36,590.50x = 76,052 × 76,052
4. Step 4: Simplify right side
   36,590.50x = 5,783,906,704
5. Step 5: Solve for x
   x = 5,783,906,704/36,590.50
6. Step 6: Final answer
   x = 158,071.27