Finding the Third Proportional to 17,870 and 39,196

Step by Step Solution

1. Step 1: Write the proportion equation
   17,870 : 39,196 = 39,196 : x
2. Step 2: Convert to fraction form
   17,870/39,196 = 39,196/x
3. Step 3: Cross multiply
   17,870x = 39,196 × 39,196
4. Step 4: Simplify right side
   17,870x = 1,536,326,416
5. Step 5: Solve for x
   x = 1,536,326,416/17,870
6. Step 6: Final answer
   x = 85,972.38