Finding the Third Proportional to 37,617 and 57,164

Step by Step Solution

1. Step 1: Write the proportion equation
   37,617 : 57,164 = 57,164 : x
2. Step 2: Convert to fraction form
   37,617/57,164 = 57,164/x
3. Step 3: Cross multiply
   37,617x = 57,164 × 57,164
4. Step 4: Simplify right side
   37,617x = 3,267,722,896
5. Step 5: Solve for x
   x = 3,267,722,896/37,617
6. Step 6: Final answer
   x = 86,868.25