Finding the Third Proportional to 46,714 and 72,365

Step by Step Solution

1. Step 1: Write the proportion equation
   46,714 : 72,365 = 72,365 : x
2. Step 2: Convert to fraction form
   46,714/72,365 = 72,365/x
3. Step 3: Cross multiply
   46,714x = 72,365 × 72,365
4. Step 4: Simplify right side
   46,714x = 5,236,693,225
5. Step 5: Solve for x
   x = 5,236,693,225/46,714
6. Step 6: Final answer
   x = 112,101.15