Finding the Third Proportional to 42,564 and 67,365

Step by Step Solution

1. Step 1: Write the proportion equation
   42,564 : 67,365 = 67,365 : x
2. Step 2: Convert to fraction form
   42,564/67,365 = 67,365/x
3. Step 3: Cross multiply
   42,564x = 67,365 × 67,365
4. Step 4: Simplify right side
   42,564x = 4,538,043,225
5. Step 5: Solve for x
   x = 4,538,043,225/42,564
6. Step 6: Final answer
   x = 106,616.94