Finding the Third Proportional to 42,566 and 67,369

Step by Step Solution

1. Step 1: Write the proportion equation
   42,566 : 67,369 = 67,369 : x
2. Step 2: Convert to fraction form
   42,566/67,369 = 67,369/x
3. Step 3: Cross multiply
   42,566x = 67,369 × 67,369
4. Step 4: Simplify right side
   42,566x = 4,538,582,161
5. Step 5: Solve for x
   x = 4,538,582,161/42,566
6. Step 6: Final answer
   x = 106,624.59