Finding the Third Proportional to 42,680 and 67,528

Step by Step Solution

1. Step 1: Write the proportion equation
   42,680 : 67,528 = 67,528 : x
2. Step 2: Convert to fraction form
   42,680/67,528 = 67,528/x
3. Step 3: Cross multiply
   42,680x = 67,528 × 67,528
4. Step 4: Simplify right side
   42,680x = 4,560,030,784
5. Step 5: Solve for x
   x = 4,560,030,784/42,680
6. Step 6: Final answer
   x = 106,842.33