Finding the Third Proportional to 13,784.50 and 20,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784.50 : 20,673.50 = 20,673.50 : x
2. Step 2: Convert to fraction form
   13,784.50/20,673.50 = 20,673.50/x
3. Step 3: Cross multiply
   13,784.50x = 20,673.50 × 20,673.50
4. Step 4: Simplify right side
   13,784.50x = 427,393,602.25
5. Step 5: Solve for x
   x = 427,393,602.25/13,784.50
6. Step 6: Final answer
   x = 31,005.38