Finding the Third Proportional to 12,820.50 and 27,691.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,820.50 : 27,691.38 = 27,691.38 : x
2. Step 2: Convert to fraction form
   12,820.50/27,691.38 = 27,691.38/x
3. Step 3: Cross multiply
   12,820.50x = 27,691.38 × 27,691.38
4. Step 4: Simplify right side
   12,820.50x = 766,812,249.39
5. Step 5: Solve for x
   x = 766,812,249.39/12,820.50
6. Step 6: Final answer
   x = 59,811.42