Finding the Third Proportional to 35,767 and 53,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,767 : 53,227.50 = 53,227.50 : x
2. Step 2: Convert to fraction form
   35,767/53,227.50 = 53,227.50/x
3. Step 3: Cross multiply
   35,767x = 53,227.50 × 53,227.50
4. Step 4: Simplify right side
   35,767x = 2,833,166,756.25
5. Step 5: Solve for x
   x = 2,833,166,756.25/35,767
6. Step 6: Final answer
   x = 79,211.75