Finding the Third Proportional to 37,920 and 57,402

Step by Step Solution

1. Step 1: Write the proportion equation
   37,920 : 57,402 = 57,402 : x
2. Step 2: Convert to fraction form
   37,920/57,402 = 57,402/x
3. Step 3: Cross multiply
   37,920x = 57,402 × 57,402
4. Step 4: Simplify right side
   37,920x = 3,294,989,604
5. Step 5: Solve for x
   x = 3,294,989,604/37,920
6. Step 6: Final answer
   x = 86,893.19