Finding the Third Proportional to 36,922.50 and 53,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,922.50 : 53,743.50 = 53,743.50 : x
2. Step 2: Convert to fraction form
   36,922.50/53,743.50 = 53,743.50/x
3. Step 3: Cross multiply
   36,922.50x = 53,743.50 × 53,743.50
4. Step 4: Simplify right side
   36,922.50x = 2,888,363,792.25
5. Step 5: Solve for x
   x = 2,888,363,792.25/36,922.50
6. Step 6: Final answer
   x = 78,227.74