Finding the Third Proportional to 38,320 and 57,244

Step by Step Solution

1. Step 1: Write the proportion equation
   38,320 : 57,244 = 57,244 : x
2. Step 2: Convert to fraction form
   38,320/57,244 = 57,244/x
3. Step 3: Cross multiply
   38,320x = 57,244 × 57,244
4. Step 4: Simplify right side
   38,320x = 3,276,875,536
5. Step 5: Solve for x
   x = 3,276,875,536/38,320
6. Step 6: Final answer
   x = 85,513.45