Finding the Third Proportional to 46,411 and 72,389

Step by Step Solution

1. Step 1: Write the proportion equation
   46,411 : 72,389 = 72,389 : x
2. Step 2: Convert to fraction form
   46,411/72,389 = 72,389/x
3. Step 3: Cross multiply
   46,411x = 72,389 × 72,389
4. Step 4: Simplify right side
   46,411x = 5,240,167,321
5. Step 5: Solve for x
   x = 5,240,167,321/46,411
6. Step 6: Final answer
   x = 112,907.87