Finding the Third Proportional to 35,599.50 and 75,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,599.50 : 75,586.50 = 75,586.50 : x
2. Step 2: Convert to fraction form
   35,599.50/75,586.50 = 75,586.50/x
3. Step 3: Cross multiply
   35,599.50x = 75,586.50 × 75,586.50
4. Step 4: Simplify right side
   35,599.50x = 5,713,318,982.25
5. Step 5: Solve for x
   x = 5,713,318,982.25/35,599.50
6. Step 6: Final answer
   x = 160,488.74