Finding the Third Proportional to 13,830 and 21,534

Step by Step Solution

1. Step 1: Write the proportion equation
   13,830 : 21,534 = 21,534 : x
2. Step 2: Convert to fraction form
   13,830/21,534 = 21,534/x
3. Step 3: Cross multiply
   13,830x = 21,534 × 21,534
4. Step 4: Simplify right side
   13,830x = 463,713,156
5. Step 5: Solve for x
   x = 463,713,156/13,830
6. Step 6: Final answer
   x = 33,529.51