Finding the Third Proportional to 37,685 and 51,181

Step by Step Solution

1. Step 1: Write the proportion equation
   37,685 : 51,181 = 51,181 : x
2. Step 2: Convert to fraction form
   37,685/51,181 = 51,181/x
3. Step 3: Cross multiply
   37,685x = 51,181 × 51,181
4. Step 4: Simplify right side
   37,685x = 2,619,494,761
5. Step 5: Solve for x
   x = 2,619,494,761/37,685
6. Step 6: Final answer
   x = 69,510.28