Finding the Third Proportional to 43,426 and 57,362

Step by Step Solution

1. Step 1: Write the proportion equation
   43,426 : 57,362 = 57,362 : x
2. Step 2: Convert to fraction form
   43,426/57,362 = 57,362/x
3. Step 3: Cross multiply
   43,426x = 57,362 × 57,362
4. Step 4: Simplify right side
   43,426x = 3,290,399,044
5. Step 5: Solve for x
   x = 3,290,399,044/43,426
6. Step 6: Final answer
   x = 75,770.25