Finding the Third Proportional to 36,742.50 and 55,221.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,742.50 : 55,221.75 = 55,221.75 : x
2. Step 2: Convert to fraction form
   36,742.50/55,221.75 = 55,221.75/x
3. Step 3: Cross multiply
   36,742.50x = 55,221.75 × 55,221.75
4. Step 4: Simplify right side
   36,742.50x = 3,049,441,673.06
5. Step 5: Solve for x
   x = 3,049,441,673.06/36,742.50
6. Step 6: Final answer
   x = 82,994.94