Finding the Third Proportional to 17,857 and 37,702

Step by Step Solution

1. Step 1: Write the proportion equation
   17,857 : 37,702 = 37,702 : x
2. Step 2: Convert to fraction form
   17,857/37,702 = 37,702/x
3. Step 3: Cross multiply
   17,857x = 37,702 × 37,702
4. Step 4: Simplify right side
   17,857x = 1,421,440,804
5. Step 5: Solve for x
   x = 1,421,440,804/17,857
6. Step 6: Final answer
   x = 79,601.32