Finding the Third Proportional to 1,965 and 5,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965 : 5,101.50 = 5,101.50 : x
2. Step 2: Convert to fraction form
   1,965/5,101.50 = 5,101.50/x
3. Step 3: Cross multiply
   1,965x = 5,101.50 × 5,101.50
4. Step 4: Simplify right side
   1,965x = 26,025,302.25
5. Step 5: Solve for x
   x = 26,025,302.25/1,965
6. Step 6: Final answer
   x = 13,244.43