Finding the Third Proportional to 3,700 and 7,870.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,700 : 7,870.75 = 7,870.75 : x
2. Step 2: Convert to fraction form
   3,700/7,870.75 = 7,870.75/x
3. Step 3: Cross multiply
   3,700x = 7,870.75 × 7,870.75
4. Step 4: Simplify right side
   3,700x = 61,948,705.56
5. Step 5: Solve for x
   x = 61,948,705.56/3,700
6. Step 6: Final answer
   x = 16,742.89