Finding the Third Proportional to 37,740 and 42,114

Step by Step Solution

1. Step 1: Write the proportion equation
   37,740 : 42,114 = 42,114 : x
2. Step 2: Convert to fraction form
   37,740/42,114 = 42,114/x
3. Step 3: Cross multiply
   37,740x = 42,114 × 42,114
4. Step 4: Simplify right side
   37,740x = 1,773,588,996
5. Step 5: Solve for x
   x = 1,773,588,996/37,740
6. Step 6: Final answer
   x = 46,994.94