Finding the Third Proportional to 42,864 and 66,364

Step by Step Solution

1. Step 1: Write the proportion equation
   42,864 : 66,364 = 66,364 : x
2. Step 2: Convert to fraction form
   42,864/66,364 = 66,364/x
3. Step 3: Cross multiply
   42,864x = 66,364 × 66,364
4. Step 4: Simplify right side
   42,864x = 4,404,180,496
5. Step 5: Solve for x
   x = 4,404,180,496/42,864
6. Step 6: Final answer
   x = 102,747.77