Finding the Third Proportional to 37,786 and 55,526

Step by Step Solution

1. Step 1: Write the proportion equation
   37,786 : 55,526 = 55,526 : x
2. Step 2: Convert to fraction form
   37,786/55,526 = 55,526/x
3. Step 3: Cross multiply
   37,786x = 55,526 × 55,526
4. Step 4: Simplify right side
   37,786x = 3,083,136,676
5. Step 5: Solve for x
   x = 3,083,136,676/37,786
6. Step 6: Final answer
   x = 81,594.68