Finding the Third Proportional to 38,965.50 and 91,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,965.50 : 91,921.50 = 91,921.50 : x
2. Step 2: Convert to fraction form
   38,965.50/91,921.50 = 91,921.50/x
3. Step 3: Cross multiply
   38,965.50x = 91,921.50 × 91,921.50
4. Step 4: Simplify right side
   38,965.50x = 8,449,562,162.25
5. Step 5: Solve for x
   x = 8,449,562,162.25/38,965.50
6. Step 6: Final answer
   x = 216,847.27