Finding the Third Proportional to 35,977.50 and 52,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,977.50 : 52,993.50 = 52,993.50 : x
2. Step 2: Convert to fraction form
   35,977.50/52,993.50 = 52,993.50/x
3. Step 3: Cross multiply
   35,977.50x = 52,993.50 × 52,993.50
4. Step 4: Simplify right side
   35,977.50x = 2,808,311,042.25
5. Step 5: Solve for x
   x = 2,808,311,042.25/35,977.50
6. Step 6: Final answer
   x = 78,057.43