Finding the Third Proportional to 1,975 and 2,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,975 : 2,807.50 = 2,807.50 : x
2. Step 2: Convert to fraction form
   1,975/2,807.50 = 2,807.50/x
3. Step 3: Cross multiply
   1,975x = 2,807.50 × 2,807.50
4. Step 4: Simplify right side
   1,975x = 7,882,056.25
5. Step 5: Solve for x
   x = 7,882,056.25/1,975
6. Step 6: Final answer
   x = 3,990.91