Finding the Third Proportional to 3,740 and 5,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,740 : 5,807.50 = 5,807.50 : x
2. Step 2: Convert to fraction form
   3,740/5,807.50 = 5,807.50/x
3. Step 3: Cross multiply
   3,740x = 5,807.50 × 5,807.50
4. Step 4: Simplify right side
   3,740x = 33,727,056.25
5. Step 5: Solve for x
   x = 33,727,056.25/3,740
6. Step 6: Final answer
   x = 9,017.93