Finding the Third Proportional to 3,782.50 and 5,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.50 : 5,870.50 = 5,870.50 : x
2. Step 2: Convert to fraction form
   3,782.50/5,870.50 = 5,870.50/x
3. Step 3: Cross multiply
   3,782.50x = 5,870.50 × 5,870.50
4. Step 4: Simplify right side
   3,782.50x = 34,462,770.25
5. Step 5: Solve for x
   x = 34,462,770.25/3,782.50
6. Step 6: Final answer
   x = 9,111.11