Finding the Third Proportional to 5,111 and 7,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111 : 7,814.50 = 7,814.50 : x
2. Step 2: Convert to fraction form
   5,111/7,814.50 = 7,814.50/x
3. Step 3: Cross multiply
   5,111x = 7,814.50 × 7,814.50
4. Step 4: Simplify right side
   5,111x = 61,066,410.25
5. Step 5: Solve for x
   x = 61,066,410.25/5,111
6. Step 6: Final answer
   x = 11,948.04