Finding the Third Proportional to 46,720 and 72,541

Step by Step Solution

1. Step 1: Write the proportion equation
   46,720 : 72,541 = 72,541 : x
2. Step 2: Convert to fraction form
   46,720/72,541 = 72,541/x
3. Step 3: Cross multiply
   46,720x = 72,541 × 72,541
4. Step 4: Simplify right side
   46,720x = 5,262,196,681
5. Step 5: Solve for x
   x = 5,262,196,681/46,720
6. Step 6: Final answer
   x = 112,632.63