Finding the Third Proportional to 17,653 and 37,865

Step by Step Solution

1. Step 1: Write the proportion equation
   17,653 : 37,865 = 37,865 : x
2. Step 2: Convert to fraction form
   17,653/37,865 = 37,865/x
3. Step 3: Cross multiply
   17,653x = 37,865 × 37,865
4. Step 4: Simplify right side
   17,653x = 1,433,758,225
5. Step 5: Solve for x
   x = 1,433,758,225/17,653
6. Step 6: Final answer
   x = 81,218.96