Finding the Third Proportional to 36,733.50 and 82,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,733.50 : 82,822.50 = 82,822.50 : x
2. Step 2: Convert to fraction form
   36,733.50/82,822.50 = 82,822.50/x
3. Step 3: Cross multiply
   36,733.50x = 82,822.50 × 82,822.50
4. Step 4: Simplify right side
   36,733.50x = 6,859,566,506.25
5. Step 5: Solve for x
   x = 6,859,566,506.25/36,733.50
6. Step 6: Final answer
   x = 186,738.71