Finding the Third Proportional to 43,569 and 65,178

Step by Step Solution

1. Step 1: Write the proportion equation
   43,569 : 65,178 = 65,178 : x
2. Step 2: Convert to fraction form
   43,569/65,178 = 65,178/x
3. Step 3: Cross multiply
   43,569x = 65,178 × 65,178
4. Step 4: Simplify right side
   43,569x = 4,248,171,684
5. Step 5: Solve for x
   x = 4,248,171,684/43,569
6. Step 6: Final answer
   x = 97,504.46