Finding the Third Proportional to 39,654 and 87,196

Step by Step Solution

1. Step 1: Write the proportion equation
   39,654 : 87,196 = 87,196 : x
2. Step 2: Convert to fraction form
   39,654/87,196 = 87,196/x
3. Step 3: Cross multiply
   39,654x = 87,196 × 87,196
4. Step 4: Simplify right side
   39,654x = 7,603,142,416
5. Step 5: Solve for x
   x = 7,603,142,416/39,654
6. Step 6: Final answer
   x = 191,737.09