Finding the Third Proportional to 38,970 and 85,884

Step by Step Solution

1. Step 1: Write the proportion equation
   38,970 : 85,884 = 85,884 : x
2. Step 2: Convert to fraction form
   38,970/85,884 = 85,884/x
3. Step 3: Cross multiply
   38,970x = 85,884 × 85,884
4. Step 4: Simplify right side
   38,970x = 7,376,061,456
5. Step 5: Solve for x
   x = 7,376,061,456/38,970
6. Step 6: Final answer
   x = 189,275.38