Finding the Third Proportional to 21,019 and 32,139

Step by Step Solution

1. Step 1: Write the proportion equation
   21,019 : 32,139 = 32,139 : x
2. Step 2: Convert to fraction form
   21,019/32,139 = 32,139/x
3. Step 3: Cross multiply
   21,019x = 32,139 × 32,139
4. Step 4: Simplify right side
   21,019x = 1,032,915,321
5. Step 5: Solve for x
   x = 1,032,915,321/21,019
6. Step 6: Final answer
   x = 49,141.98