Finding the Third Proportional to 37,586 and 59,471

Step by Step Solution

1. Step 1: Write the proportion equation
   37,586 : 59,471 = 59,471 : x
2. Step 2: Convert to fraction form
   37,586/59,471 = 59,471/x
3. Step 3: Cross multiply
   37,586x = 59,471 × 59,471
4. Step 4: Simplify right side
   37,586x = 3,536,799,841
5. Step 5: Solve for x
   x = 3,536,799,841/37,586
6. Step 6: Final answer
   x = 94,098.86