Finding the Third Proportional to 37,392 and 57,120

Step by Step Solution

1. Step 1: Write the proportion equation
   37,392 : 57,120 = 57,120 : x
2. Step 2: Convert to fraction form
   37,392/57,120 = 57,120/x
3. Step 3: Cross multiply
   37,392x = 57,120 × 57,120
4. Step 4: Simplify right side
   37,392x = 3,262,694,400
5. Step 5: Solve for x
   x = 3,262,694,400/37,392
6. Step 6: Final answer
   x = 87,256.48