Finding the Third Proportional to 5,101 and 10,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,101 : 10,814.50 = 10,814.50 : x
2. Step 2: Convert to fraction form
   5,101/10,814.50 = 10,814.50/x
3. Step 3: Cross multiply
   5,101x = 10,814.50 × 10,814.50
4. Step 4: Simplify right side
   5,101x = 116,953,410.25
5. Step 5: Solve for x
   x = 116,953,410.25/5,101
6. Step 6: Final answer
   x = 22,927.55