Finding the Third Proportional to 13,624 and 21,053

Step by Step Solution

1. Step 1: Write the proportion equation
   13,624 : 21,053 = 21,053 : x
2. Step 2: Convert to fraction form
   13,624/21,053 = 21,053/x
3. Step 3: Cross multiply
   13,624x = 21,053 × 21,053
4. Step 4: Simplify right side
   13,624x = 443,228,809
5. Step 5: Solve for x
   x = 443,228,809/13,624
6. Step 6: Final answer
   x = 32,532.94