Finding the Third Proportional to 13,702.50 and 16,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,702.50 : 16,213.50 = 16,213.50 : x
2. Step 2: Convert to fraction form
   13,702.50/16,213.50 = 16,213.50/x
3. Step 3: Cross multiply
   13,702.50x = 16,213.50 × 16,213.50
4. Step 4: Simplify right side
   13,702.50x = 262,877,582.25
5. Step 5: Solve for x
   x = 262,877,582.25/13,702.50
6. Step 6: Final answer
   x = 19,184.64