Finding the Third Proportional to 37,358 and 57,843

Step by Step Solution

1. Step 1: Write the proportion equation
   37,358 : 57,843 = 57,843 : x
2. Step 2: Convert to fraction form
   37,358/57,843 = 57,843/x
3. Step 3: Cross multiply
   37,358x = 57,843 × 57,843
4. Step 4: Simplify right side
   37,358x = 3,345,812,649
5. Step 5: Solve for x
   x = 3,345,812,649/37,358
6. Step 6: Final answer
   x = 89,560.81