Finding the Third Proportional to 40,362 and 57,654

Step by Step Solution

1. Step 1: Write the proportion equation
   40,362 : 57,654 = 57,654 : x
2. Step 2: Convert to fraction form
   40,362/57,654 = 57,654/x
3. Step 3: Cross multiply
   40,362x = 57,654 × 57,654
4. Step 4: Simplify right side
   40,362x = 3,323,983,716
5. Step 5: Solve for x
   x = 3,323,983,716/40,362
6. Step 6: Final answer
   x = 82,354.29