Finding the Third Proportional to 17,655 and 37,869

Step by Step Solution

1. Step 1: Write the proportion equation
   17,655 : 37,869 = 37,869 : x
2. Step 2: Convert to fraction form
   17,655/37,869 = 37,869/x
3. Step 3: Cross multiply
   17,655x = 37,869 × 37,869
4. Step 4: Simplify right side
   17,655x = 1,434,061,161
5. Step 5: Solve for x
   x = 1,434,061,161/17,655
6. Step 6: Final answer
   x = 81,226.91