Finding the Third Proportional to 49,564 and 74,362

Step by Step Solution

1. Step 1: Write the proportion equation
   49,564 : 74,362 = 74,362 : x
2. Step 2: Convert to fraction form
   49,564/74,362 = 74,362/x
3. Step 3: Cross multiply
   49,564x = 74,362 × 74,362
4. Step 4: Simplify right side
   49,564x = 5,529,707,044
5. Step 5: Solve for x
   x = 5,529,707,044/49,564
6. Step 6: Final answer
   x = 111,567.01