Finding the Third Proportional to 37,672 and 46,096

Step by Step Solution

1. Step 1: Write the proportion equation
   37,672 : 46,096 = 46,096 : x
2. Step 2: Convert to fraction form
   37,672/46,096 = 46,096/x
3. Step 3: Cross multiply
   37,672x = 46,096 × 46,096
4. Step 4: Simplify right side
   37,672x = 2,124,841,216
5. Step 5: Solve for x
   x = 2,124,841,216/37,672
6. Step 6: Final answer
   x = 56,403.73