Finding the Third Proportional to 13,885.50 and 21,507

Step by Step Solution

1. Step 1: Write the proportion equation
   13,885.50 : 21,507 = 21,507 : x
2. Step 2: Convert to fraction form
   13,885.50/21,507 = 21,507/x
3. Step 3: Cross multiply
   13,885.50x = 21,507 × 21,507
4. Step 4: Simplify right side
   13,885.50x = 462,551,049
5. Step 5: Solve for x
   x = 462,551,049/13,885.50
6. Step 6: Final answer
   x = 33,311.80