Finding the Third Proportional to 37,356 and 57,840

Step by Step Solution

1. Step 1: Write the proportion equation
   37,356 : 57,840 = 57,840 : x
2. Step 2: Convert to fraction form
   37,356/57,840 = 57,840/x
3. Step 3: Cross multiply
   37,356x = 57,840 × 57,840
4. Step 4: Simplify right side
   37,356x = 3,345,465,600
5. Step 5: Solve for x
   x = 3,345,465,600/37,356
6. Step 6: Final answer
   x = 89,556.31