Finding the Third Proportional to 35,587 and 54,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,587 : 54,586.50 = 54,586.50 : x
2. Step 2: Convert to fraction form
   35,587/54,586.50 = 54,586.50/x
3. Step 3: Cross multiply
   35,587x = 54,586.50 × 54,586.50
4. Step 4: Simplify right side
   35,587x = 2,979,685,982.25
5. Step 5: Solve for x
   x = 2,979,685,982.25/35,587
6. Step 6: Final answer
   x = 83,729.62