Finding the Third Proportional to 35,590 and 54,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,590 : 54,591.50 = 54,591.50 : x
2. Step 2: Convert to fraction form
   35,590/54,591.50 = 54,591.50/x
3. Step 3: Cross multiply
   35,590x = 54,591.50 × 54,591.50
4. Step 4: Simplify right side
   35,590x = 2,980,231,872.25
5. Step 5: Solve for x
   x = 2,980,231,872.25/35,590
6. Step 6: Final answer
   x = 83,737.90