Finding the Third Proportional to 1,301 and 3,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301 : 3,516.50 = 3,516.50 : x
2. Step 2: Convert to fraction form
   1,301/3,516.50 = 3,516.50/x
3. Step 3: Cross multiply
   1,301x = 3,516.50 × 3,516.50
4. Step 4: Simplify right side
   1,301x = 12,365,772.25
5. Step 5: Solve for x
   x = 12,365,772.25/1,301
6. Step 6: Final answer
   x = 9,504.82