Finding the Third Proportional to 37,627 and 58,293

Step by Step Solution

1. Step 1: Write the proportion equation
   37,627 : 58,293 = 58,293 : x
2. Step 2: Convert to fraction form
   37,627/58,293 = 58,293/x
3. Step 3: Cross multiply
   37,627x = 58,293 × 58,293
4. Step 4: Simplify right side
   37,627x = 3,398,073,849
5. Step 5: Solve for x
   x = 3,398,073,849/37,627
6. Step 6: Final answer
   x = 90,309.45