Finding the Third Proportional to 9,038 and 19,532

Step by Step Solution

1. Step 1: Write the proportion equation
   9,038 : 19,532 = 19,532 : x
2. Step 2: Convert to fraction form
   9,038/19,532 = 19,532/x
3. Step 3: Cross multiply
   9,038x = 19,532 × 19,532
4. Step 4: Simplify right side
   9,038x = 381,499,024
5. Step 5: Solve for x
   x = 381,499,024/9,038
6. Step 6: Final answer
   x = 42,210.56