Finding the Third Proportional to 3,586.50 and 7,501

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586.50 : 7,501 = 7,501 : x
2. Step 2: Convert to fraction form
   3,586.50/7,501 = 7,501/x
3. Step 3: Cross multiply
   3,586.50x = 7,501 × 7,501
4. Step 4: Simplify right side
   3,586.50x = 56,265,001
5. Step 5: Solve for x
   x = 56,265,001/3,586.50
6. Step 6: Final answer
   x = 15,688.00