Finding the Third Proportional to 13,766.63 and 21,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,766.63 : 21,880.50 = 21,880.50 : x
2. Step 2: Convert to fraction form
   13,766.63/21,880.50 = 21,880.50/x
3. Step 3: Cross multiply
   13,766.63x = 21,880.50 × 21,880.50
4. Step 4: Simplify right side
   13,766.63x = 478,756,280.25
5. Step 5: Solve for x
   x = 478,756,280.25/13,766.63
6. Step 6: Final answer
   x = 34,776.59