Finding the Third Proportional to 34,523 and 74,494

Step by Step Solution

1. Step 1: Write the proportion equation
   34,523 : 74,494 = 74,494 : x
2. Step 2: Convert to fraction form
   34,523/74,494 = 74,494/x
3. Step 3: Cross multiply
   34,523x = 74,494 × 74,494
4. Step 4: Simplify right side
   34,523x = 5,549,356,036
5. Step 5: Solve for x
   x = 5,549,356,036/34,523
6. Step 6: Final answer
   x = 160,743.74