Finding the Third Proportional to 39,870 and 85,884

Step by Step Solution

1. Step 1: Write the proportion equation
   39,870 : 85,884 = 85,884 : x
2. Step 2: Convert to fraction form
   39,870/85,884 = 85,884/x
3. Step 3: Cross multiply
   39,870x = 85,884 × 85,884
4. Step 4: Simplify right side
   39,870x = 7,376,061,456
5. Step 5: Solve for x
   x = 7,376,061,456/39,870
6. Step 6: Final answer
   x = 185,002.80