Finding the Third Proportional to 17,896 and 38,528

Step by Step Solution

1. Step 1: Write the proportion equation
   17,896 : 38,528 = 38,528 : x
2. Step 2: Convert to fraction form
   17,896/38,528 = 38,528/x
3. Step 3: Cross multiply
   17,896x = 38,528 × 38,528
4. Step 4: Simplify right side
   17,896x = 1,484,406,784
5. Step 5: Solve for x
   x = 1,484,406,784/17,896
6. Step 6: Final answer
   x = 82,946.29