Finding the Third Proportional to 3,672 and 5,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,672 : 5,911.50 = 5,911.50 : x
2. Step 2: Convert to fraction form
   3,672/5,911.50 = 5,911.50/x
3. Step 3: Cross multiply
   3,672x = 5,911.50 × 5,911.50
4. Step 4: Simplify right side
   3,672x = 34,945,832.25
5. Step 5: Solve for x
   x = 34,945,832.25/3,672
6. Step 6: Final answer
   x = 9,516.84