Finding the Third Proportional to 46,494 and 59,697

Step by Step Solution

1. Step 1: Write the proportion equation
   46,494 : 59,697 = 59,697 : x
2. Step 2: Convert to fraction form
   46,494/59,697 = 59,697/x
3. Step 3: Cross multiply
   46,494x = 59,697 × 59,697
4. Step 4: Simplify right side
   46,494x = 3,563,731,809
5. Step 5: Solve for x
   x = 3,563,731,809/46,494
6. Step 6: Final answer
   x = 76,649.28