Finding the Third Proportional to 27,786 and 39,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,786 : 39,706.50 = 39,706.50 : x
2. Step 2: Convert to fraction form
   27,786/39,706.50 = 39,706.50/x
3. Step 3: Cross multiply
   27,786x = 39,706.50 × 39,706.50
4. Step 4: Simplify right side
   27,786x = 1,576,606,142.25
5. Step 5: Solve for x
   x = 1,576,606,142.25/27,786
6. Step 6: Final answer
   x = 56,741.03