Finding the Third Proportional to 39,196 and 85,760

Step by Step Solution

1. Step 1: Write the proportion equation
   39,196 : 85,760 = 85,760 : x
2. Step 2: Convert to fraction form
   39,196/85,760 = 85,760/x
3. Step 3: Cross multiply
   39,196x = 85,760 × 85,760
4. Step 4: Simplify right side
   39,196x = 7,354,777,600
5. Step 5: Solve for x
   x = 7,354,777,600/39,196
6. Step 6: Final answer
   x = 187,641.02