Finding the Third Proportional to 21,536 and 32,428

Step by Step Solution

1. Step 1: Write the proportion equation
   21,536 : 32,428 = 32,428 : x
2. Step 2: Convert to fraction form
   21,536/32,428 = 32,428/x
3. Step 3: Cross multiply
   21,536x = 32,428 × 32,428
4. Step 4: Simplify right side
   21,536x = 1,051,575,184
5. Step 5: Solve for x
   x = 1,051,575,184/21,536
6. Step 6: Final answer
   x = 48,828.71