Finding the Third Proportional to 2,307 and 5,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,307 : 5,191.50 = 5,191.50 : x
2. Step 2: Convert to fraction form
   2,307/5,191.50 = 5,191.50/x
3. Step 3: Cross multiply
   2,307x = 5,191.50 × 5,191.50
4. Step 4: Simplify right side
   2,307x = 26,951,672.25
5. Step 5: Solve for x
   x = 26,951,672.25/2,307
6. Step 6: Final answer
   x = 11,682.56