Finding the Third Proportional to 37,154 and 57,557

Step by Step Solution

1. Step 1: Write the proportion equation
   37,154 : 57,557 = 57,557 : x
2. Step 2: Convert to fraction form
   37,154/57,557 = 57,557/x
3. Step 3: Cross multiply
   37,154x = 57,557 × 57,557
4. Step 4: Simplify right side
   37,154x = 3,312,808,249
5. Step 5: Solve for x
   x = 3,312,808,249/37,154
6. Step 6: Final answer
   x = 89,164.24