Finding the Third Proportional to 40,819 and 59,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,819 : 59,830.50 = 59,830.50 : x
2. Step 2: Convert to fraction form
   40,819/59,830.50 = 59,830.50/x
3. Step 3: Cross multiply
   40,819x = 59,830.50 × 59,830.50
4. Step 4: Simplify right side
   40,819x = 3,579,688,730.25
5. Step 5: Solve for x
   x = 3,579,688,730.25/40,819
6. Step 6: Final answer
   x = 87,696.63