Finding the Third Proportional to 10,036 and 19,432

Step by Step Solution

1. Step 1: Write the proportion equation
   10,036 : 19,432 = 19,432 : x
2. Step 2: Convert to fraction form
   10,036/19,432 = 19,432/x
3. Step 3: Cross multiply
   10,036x = 19,432 × 19,432
4. Step 4: Simplify right side
   10,036x = 377,602,624
5. Step 5: Solve for x
   x = 377,602,624/10,036
6. Step 6: Final answer
   x = 37,624.81