Finding the Third Proportional to 2,501 and 3,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,501 : 3,777.50 = 3,777.50 : x
2. Step 2: Convert to fraction form
   2,501/3,777.50 = 3,777.50/x
3. Step 3: Cross multiply
   2,501x = 3,777.50 × 3,777.50
4. Step 4: Simplify right side
   2,501x = 14,269,506.25
5. Step 5: Solve for x
   x = 14,269,506.25/2,501
6. Step 6: Final answer
   x = 5,705.52