Finding the Third Proportional to 34,724 and 74,470

Step by Step Solution

1. Step 1: Write the proportion equation
   34,724 : 74,470 = 74,470 : x
2. Step 2: Convert to fraction form
   34,724/74,470 = 74,470/x
3. Step 3: Cross multiply
   34,724x = 74,470 × 74,470
4. Step 4: Simplify right side
   34,724x = 5,545,780,900
5. Step 5: Solve for x
   x = 5,545,780,900/34,724
6. Step 6: Final answer
   x = 159,710.31