Finding the Third Proportional to 13,885.50 and 21,506.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,885.50 : 21,506.63 = 21,506.63 : x
2. Step 2: Convert to fraction form
   13,885.50/21,506.63 = 21,506.63/x
3. Step 3: Cross multiply
   13,885.50x = 21,506.63 × 21,506.63
4. Step 4: Simplify right side
   13,885.50x = 462,534,918.89
5. Step 5: Solve for x
   x = 462,534,918.89/13,885.50
6. Step 6: Final answer
   x = 33,310.64