Finding the Third Proportional to 34,640 and 74,815

Step by Step Solution

1. Step 1: Write the proportion equation
   34,640 : 74,815 = 74,815 : x
2. Step 2: Convert to fraction form
   34,640/74,815 = 74,815/x
3. Step 3: Cross multiply
   34,640x = 74,815 × 74,815
4. Step 4: Simplify right side
   34,640x = 5,597,284,225
5. Step 5: Solve for x
   x = 5,597,284,225/34,640
6. Step 6: Final answer
   x = 161,584.42