Finding the Third Proportional to 37,263 and 54,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,263 : 54,706.50 = 54,706.50 : x
2. Step 2: Convert to fraction form
   37,263/54,706.50 = 54,706.50/x
3. Step 3: Cross multiply
   37,263x = 54,706.50 × 54,706.50
4. Step 4: Simplify right side
   37,263x = 2,992,801,142.25
5. Step 5: Solve for x
   x = 2,992,801,142.25/37,263
6. Step 6: Final answer
   x = 80,315.63