Finding the Third Proportional to 37,683 and 58,295

Step by Step Solution

1. Step 1: Write the proportion equation
   37,683 : 58,295 = 58,295 : x
2. Step 2: Convert to fraction form
   37,683/58,295 = 58,295/x
3. Step 3: Cross multiply
   37,683x = 58,295 × 58,295
4. Step 4: Simplify right side
   37,683x = 3,398,307,025
5. Step 5: Solve for x
   x = 3,398,307,025/37,683
6. Step 6: Final answer
   x = 90,181.44