Finding the Third Proportional to 37,770 and 51,114

Step by Step Solution

1. Step 1: Write the proportion equation
   37,770 : 51,114 = 51,114 : x
2. Step 2: Convert to fraction form
   37,770/51,114 = 51,114/x
3. Step 3: Cross multiply
   37,770x = 51,114 × 51,114
4. Step 4: Simplify right side
   37,770x = 2,612,640,996
5. Step 5: Solve for x
   x = 2,612,640,996/37,770
6. Step 6: Final answer
   x = 69,172.39