Finding the Third Proportional to 37,786 and 55,527

Step by Step Solution

1. Step 1: Write the proportion equation
   37,786 : 55,527 = 55,527 : x
2. Step 2: Convert to fraction form
   37,786/55,527 = 55,527/x
3. Step 3: Cross multiply
   37,786x = 55,527 × 55,527
4. Step 4: Simplify right side
   37,786x = 3,083,247,729
5. Step 5: Solve for x
   x = 3,083,247,729/37,786
6. Step 6: Final answer
   x = 81,597.62