Finding the Third Proportional to 38,740 and 57,966

Step by Step Solution

1. Step 1: Write the proportion equation
   38,740 : 57,966 = 57,966 : x
2. Step 2: Convert to fraction form
   38,740/57,966 = 57,966/x
3. Step 3: Cross multiply
   38,740x = 57,966 × 57,966
4. Step 4: Simplify right side
   38,740x = 3,360,057,156
5. Step 5: Solve for x
   x = 3,360,057,156/38,740
6. Step 6: Final answer
   x = 86,733.54