Finding the Third Proportional to 42,936 and 66,345

Step by Step Solution

1. Step 1: Write the proportion equation
   42,936 : 66,345 = 66,345 : x
2. Step 2: Convert to fraction form
   42,936/66,345 = 66,345/x
3. Step 3: Cross multiply
   42,936x = 66,345 × 66,345
4. Step 4: Simplify right side
   42,936x = 4,401,659,025
5. Step 5: Solve for x
   x = 4,401,659,025/42,936
6. Step 6: Final answer
   x = 102,516.75