Finding the Third Proportional to 19,494.38 and 27,782.06

Step by Step Solution

1. Step 1: Write the proportion equation
   19,494.38 : 27,782.06 = 27,782.06 : x
2. Step 2: Convert to fraction form
   19,494.38/27,782.06 = 27,782.06/x
3. Step 3: Cross multiply
   19,494.38x = 27,782.06 × 27,782.06
4. Step 4: Simplify right side
   19,494.38x = 771,842,996.75
5. Step 5: Solve for x
   x = 771,842,996.75/19,494.38
6. Step 6: Final answer
   x = 39,593.11