Finding the Third Proportional to 40,819 and 61,844

Step by Step Solution

1. Step 1: Write the proportion equation
   40,819 : 61,844 = 61,844 : x
2. Step 2: Convert to fraction form
   40,819/61,844 = 61,844/x
3. Step 3: Cross multiply
   40,819x = 61,844 × 61,844
4. Step 4: Simplify right side
   40,819x = 3,824,680,336
5. Step 5: Solve for x
   x = 3,824,680,336/40,819
6. Step 6: Final answer
   x = 93,698.53