Finding the Third Proportional to 42,563 and 67,364

Step by Step Solution

1. Step 1: Write the proportion equation
   42,563 : 67,364 = 67,364 : x
2. Step 2: Convert to fraction form
   42,563/67,364 = 67,364/x
3. Step 3: Cross multiply
   42,563x = 67,364 × 67,364
4. Step 4: Simplify right side
   42,563x = 4,537,908,496
5. Step 5: Solve for x
   x = 4,537,908,496/42,563
6. Step 6: Final answer
   x = 106,616.27