Finding the Third Proportional to 19,500 and 27,786

Step by Step Solution

1. Step 1: Write the proportion equation
   19,500 : 27,786 = 27,786 : x
2. Step 2: Convert to fraction form
   19,500/27,786 = 27,786/x
3. Step 3: Cross multiply
   19,500x = 27,786 × 27,786
4. Step 4: Simplify right side
   19,500x = 772,061,796
5. Step 5: Solve for x
   x = 772,061,796/19,500
6. Step 6: Final answer
   x = 39,592.91