Finding the Third Proportional to 35,660 and 56,514

Step by Step Solution

1. Step 1: Write the proportion equation
   35,660 : 56,514 = 56,514 : x
2. Step 2: Convert to fraction form
   35,660/56,514 = 56,514/x
3. Step 3: Cross multiply
   35,660x = 56,514 × 56,514
4. Step 4: Simplify right side
   35,660x = 3,193,832,196
5. Step 5: Solve for x
   x = 3,193,832,196/35,660
6. Step 6: Final answer
   x = 89,563.44