Finding the Third Proportional to 35,856 and 74,664

Step by Step Solution

1. Step 1: Write the proportion equation
   35,856 : 74,664 = 74,664 : x
2. Step 2: Convert to fraction form
   35,856/74,664 = 74,664/x
3. Step 3: Cross multiply
   35,856x = 74,664 × 74,664
4. Step 4: Simplify right side
   35,856x = 5,574,712,896
5. Step 5: Solve for x
   x = 5,574,712,896/35,856
6. Step 6: Final answer
   x = 155,475.04