Finding the Third Proportional to 36,818 and 57,412

Step by Step Solution

1. Step 1: Write the proportion equation
   36,818 : 57,412 = 57,412 : x
2. Step 2: Convert to fraction form
   36,818/57,412 = 57,412/x
3. Step 3: Cross multiply
   36,818x = 57,412 × 57,412
4. Step 4: Simplify right side
   36,818x = 3,296,137,744
5. Step 5: Solve for x
   x = 3,296,137,744/36,818
6. Step 6: Final answer
   x = 89,525.17