Finding the Third Proportional to 14,602.50 and 16,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,602.50 : 16,042.50 = 16,042.50 : x
2. Step 2: Convert to fraction form
   14,602.50/16,042.50 = 16,042.50/x
3. Step 3: Cross multiply
   14,602.50x = 16,042.50 × 16,042.50
4. Step 4: Simplify right side
   14,602.50x = 257,361,806.25
5. Step 5: Solve for x
   x = 257,361,806.25/14,602.50
6. Step 6: Final answer
   x = 17,624.50