Finding the Third Proportional to 35,967 and 54,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,967 : 54,436.50 = 54,436.50 : x
2. Step 2: Convert to fraction form
   35,967/54,436.50 = 54,436.50/x
3. Step 3: Cross multiply
   35,967x = 54,436.50 × 54,436.50
4. Step 4: Simplify right side
   35,967x = 2,963,332,532.25
5. Step 5: Solve for x
   x = 2,963,332,532.25/35,967
6. Step 6: Final answer
   x = 82,390.32