Finding the Third Proportional to 46,846 and 72,213

Step by Step Solution

1. Step 1: Write the proportion equation
   46,846 : 72,213 = 72,213 : x
2. Step 2: Convert to fraction form
   46,846/72,213 = 72,213/x
3. Step 3: Cross multiply
   46,846x = 72,213 × 72,213
4. Step 4: Simplify right side
   46,846x = 5,214,717,369
5. Step 5: Solve for x
   x = 5,214,717,369/46,846
6. Step 6: Final answer
   x = 111,316.17