Finding the Third Proportional to 51,847.50 and 82,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,847.50 : 82,538.50 = 82,538.50 : x
2. Step 2: Convert to fraction form
   51,847.50/82,538.50 = 82,538.50/x
3. Step 3: Cross multiply
   51,847.50x = 82,538.50 × 82,538.50
4. Step 4: Simplify right side
   51,847.50x = 6,812,603,982.25
5. Step 5: Solve for x
   x = 6,812,603,982.25/51,847.50
6. Step 6: Final answer
   x = 131,396.96