Finding the Third Proportional to 21,830 and 32,709

Step by Step Solution

1. Step 1: Write the proportion equation
   21,830 : 32,709 = 32,709 : x
2. Step 2: Convert to fraction form
   21,830/32,709 = 32,709/x
3. Step 3: Cross multiply
   21,830x = 32,709 × 32,709
4. Step 4: Simplify right side
   21,830x = 1,069,878,681
5. Step 5: Solve for x
   x = 1,069,878,681/21,830
6. Step 6: Final answer
   x = 49,009.56