Finding the Third Proportional to 36,636 and 57,141

Step by Step Solution

1. Step 1: Write the proportion equation
   36,636 : 57,141 = 57,141 : x
2. Step 2: Convert to fraction form
   36,636/57,141 = 57,141/x
3. Step 3: Cross multiply
   36,636x = 57,141 × 57,141
4. Step 4: Simplify right side
   36,636x = 3,265,093,881
5. Step 5: Solve for x
   x = 3,265,093,881/36,636
6. Step 6: Final answer
   x = 89,122.55