Finding the Third Proportional to 46,409 and 72,386

Step by Step Solution

1. Step 1: Write the proportion equation
   46,409 : 72,386 = 72,386 : x
2. Step 2: Convert to fraction form
   46,409/72,386 = 72,386/x
3. Step 3: Cross multiply
   46,409x = 72,386 × 72,386
4. Step 4: Simplify right side
   46,409x = 5,239,732,996
5. Step 5: Solve for x
   x = 5,239,732,996/46,409
6. Step 6: Final answer
   x = 112,903.38