Finding the Third Proportional to 42,819 and 65,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,819 : 65,866.50 = 65,866.50 : x
2. Step 2: Convert to fraction form
   42,819/65,866.50 = 65,866.50/x
3. Step 3: Cross multiply
   42,819x = 65,866.50 × 65,866.50
4. Step 4: Simplify right side
   42,819x = 4,338,395,822.25
5. Step 5: Solve for x
   x = 4,338,395,822.25/42,819
6. Step 6: Final answer
   x = 101,319.41