Finding the Third Proportional to 37,982 and 58,964

Step by Step Solution

1. Step 1: Write the proportion equation
   37,982 : 58,964 = 58,964 : x
2. Step 2: Convert to fraction form
   37,982/58,964 = 58,964/x
3. Step 3: Cross multiply
   37,982x = 58,964 × 58,964
4. Step 4: Simplify right side
   37,982x = 3,476,753,296
5. Step 5: Solve for x
   x = 3,476,753,296/37,982
6. Step 6: Final answer
   x = 91,536.87