Finding the Third Proportional to 37,983 and 58,966

Step by Step Solution

1. Step 1: Write the proportion equation
   37,983 : 58,966 = 58,966 : x
2. Step 2: Convert to fraction form
   37,983/58,966 = 58,966/x
3. Step 3: Cross multiply
   37,983x = 58,966 × 58,966
4. Step 4: Simplify right side
   37,983x = 3,476,989,156
5. Step 5: Solve for x
   x = 3,476,989,156/37,983
6. Step 6: Final answer
   x = 91,540.67