Finding the Third Proportional to 13,880.50 and 21,166.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,880.50 : 21,166.25 = 21,166.25 : x
2. Step 2: Convert to fraction form
   13,880.50/21,166.25 = 21,166.25/x
3. Step 3: Cross multiply
   13,880.50x = 21,166.25 × 21,166.25
4. Step 4: Simplify right side
   13,880.50x = 448,010,139.06
5. Step 5: Solve for x
   x = 448,010,139.06/13,880.50
6. Step 6: Final answer
   x = 32,276.22