Finding the Third Proportional to 3,880 and 10,528

Step by Step Solution

1. Step 1: Write the proportion equation
   3,880 : 10,528 = 10,528 : x
2. Step 2: Convert to fraction form
   3,880/10,528 = 10,528/x
3. Step 3: Cross multiply
   3,880x = 10,528 × 10,528
4. Step 4: Simplify right side
   3,880x = 110,838,784
5. Step 5: Solve for x
   x = 110,838,784/3,880
6. Step 6: Final answer
   x = 28,566.70