Finding the Third Proportional to 34,494 and 74,271

Step by Step Solution

1. Step 1: Write the proportion equation
   34,494 : 74,271 = 74,271 : x
2. Step 2: Convert to fraction form
   34,494/74,271 = 74,271/x
3. Step 3: Cross multiply
   34,494x = 74,271 × 74,271
4. Step 4: Simplify right side
   34,494x = 5,516,181,441
5. Step 5: Solve for x
   x = 5,516,181,441/34,494
6. Step 6: Final answer
   x = 159,917.13