Finding the Third Proportional to 2,319 and 5,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,319 : 5,156.50 = 5,156.50 : x
2. Step 2: Convert to fraction form
   2,319/5,156.50 = 5,156.50/x
3. Step 3: Cross multiply
   2,319x = 5,156.50 × 5,156.50
4. Step 4: Simplify right side
   2,319x = 26,589,492.25
5. Step 5: Solve for x
   x = 26,589,492.25/2,319
6. Step 6: Final answer
   x = 11,465.93