Finding the Third Proportional to 34,710 and 74,442

Step by Step Solution

1. Step 1: Write the proportion equation
   34,710 : 74,442 = 74,442 : x
2. Step 2: Convert to fraction form
   34,710/74,442 = 74,442/x
3. Step 3: Cross multiply
   34,710x = 74,442 × 74,442
4. Step 4: Simplify right side
   34,710x = 5,541,611,364
5. Step 5: Solve for x
   x = 5,541,611,364/34,710
6. Step 6: Final answer
   x = 159,654.61