Finding the Third Proportional to 39,696 and 61,410

Step by Step Solution

1. Step 1: Write the proportion equation
   39,696 : 61,410 = 61,410 : x
2. Step 2: Convert to fraction form
   39,696/61,410 = 61,410/x
3. Step 3: Cross multiply
   39,696x = 61,410 × 61,410
4. Step 4: Simplify right side
   39,696x = 3,771,188,100
5. Step 5: Solve for x
   x = 3,771,188,100/39,696
6. Step 6: Final answer
   x = 95,001.72