Finding the Third Proportional to 43,866 and 65,506.69

Step by Step Solution

1. Step 1: Write the proportion equation
   43,866 : 65,506.69 = 65,506.69 : x
2. Step 2: Convert to fraction form
   43,866/65,506.69 = 65,506.69/x
3. Step 3: Cross multiply
   43,866x = 65,506.69 × 65,506.69
4. Step 4: Simplify right side
   43,866x = 4,291,126,107.22
5. Step 5: Solve for x
   x = 4,291,126,107.22/43,866
6. Step 6: Final answer
   x = 97,823.51