Finding the Third Proportional to 36,936 and 57,340

Step by Step Solution

1. Step 1: Write the proportion equation
   36,936 : 57,340 = 57,340 : x
2. Step 2: Convert to fraction form
   36,936/57,340 = 57,340/x
3. Step 3: Cross multiply
   36,936x = 57,340 × 57,340
4. Step 4: Simplify right side
   36,936x = 3,287,875,600
5. Step 5: Solve for x
   x = 3,287,875,600/36,936
6. Step 6: Final answer
   x = 89,015.48