Finding the Third Proportional to 35,895 and 73,584

Step by Step Solution

1. Step 1: Write the proportion equation
   35,895 : 73,584 = 73,584 : x
2. Step 2: Convert to fraction form
   35,895/73,584 = 73,584/x
3. Step 3: Cross multiply
   35,895x = 73,584 × 73,584
4. Step 4: Simplify right side
   35,895x = 5,414,605,056
5. Step 5: Solve for x
   x = 5,414,605,056/35,895
6. Step 6: Final answer
   x = 150,845.66