Finding the Third Proportional to 11,853 and 19,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,853 : 19,093.50 = 19,093.50 : x
2. Step 2: Convert to fraction form
   11,853/19,093.50 = 19,093.50/x
3. Step 3: Cross multiply
   11,853x = 19,093.50 × 19,093.50
4. Step 4: Simplify right side
   11,853x = 364,561,742.25
5. Step 5: Solve for x
   x = 364,561,742.25/11,853
6. Step 6: Final answer
   x = 30,756.92