Finding the Third Proportional to 37,147 and 57,547

Step by Step Solution

1. Step 1: Write the proportion equation
   37,147 : 57,547 = 57,547 : x
2. Step 2: Convert to fraction form
   37,147/57,547 = 57,547/x
3. Step 3: Cross multiply
   37,147x = 57,547 × 57,547
4. Step 4: Simplify right side
   37,147x = 3,311,657,209
5. Step 5: Solve for x
   x = 3,311,657,209/37,147
6. Step 6: Final answer
   x = 89,150.06