Finding the Third Proportional to 35,780.25 and 52,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,780.25 : 52,576.50 = 52,576.50 : x
2. Step 2: Convert to fraction form
   35,780.25/52,576.50 = 52,576.50/x
3. Step 3: Cross multiply
   35,780.25x = 52,576.50 × 52,576.50
4. Step 4: Simplify right side
   35,780.25x = 2,764,288,352.25
5. Step 5: Solve for x
   x = 2,764,288,352.25/35,780.25
6. Step 6: Final answer
   x = 77,257.38