Finding the Third Proportional to 11,814.75 and 19,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,814.75 : 19,336.50 = 19,336.50 : x
2. Step 2: Convert to fraction form
   11,814.75/19,336.50 = 19,336.50/x
3. Step 3: Cross multiply
   11,814.75x = 19,336.50 × 19,336.50
4. Step 4: Simplify right side
   11,814.75x = 373,900,232.25
5. Step 5: Solve for x
   x = 373,900,232.25/11,814.75
6. Step 6: Final answer
   x = 31,646.90