Finding the Third Proportional to 34,510 and 74,662

Step by Step Solution

1. Step 1: Write the proportion equation
   34,510 : 74,662 = 74,662 : x
2. Step 2: Convert to fraction form
   34,510/74,662 = 74,662/x
3. Step 3: Cross multiply
   34,510x = 74,662 × 74,662
4. Step 4: Simplify right side
   34,510x = 5,574,414,244
5. Step 5: Solve for x
   x = 5,574,414,244/34,510
6. Step 6: Final answer
   x = 161,530.40