Finding the Third Proportional to 11,700 and 21,528

Step by Step Solution

1. Step 1: Write the proportion equation
   11,700 : 21,528 = 21,528 : x
2. Step 2: Convert to fraction form
   11,700/21,528 = 21,528/x
3. Step 3: Cross multiply
   11,700x = 21,528 × 21,528
4. Step 4: Simplify right side
   11,700x = 463,454,784
5. Step 5: Solve for x
   x = 463,454,784/11,700
6. Step 6: Final answer
   x = 39,611.52