Finding the Third Proportional to 34,664 and 74,256

Step by Step Solution

1. Step 1: Write the proportion equation
   34,664 : 74,256 = 74,256 : x
2. Step 2: Convert to fraction form
   34,664/74,256 = 74,256/x
3. Step 3: Cross multiply
   34,664x = 74,256 × 74,256
4. Step 4: Simplify right side
   34,664x = 5,513,953,536
5. Step 5: Solve for x
   x = 5,513,953,536/34,664
6. Step 6: Final answer
   x = 159,068.59