Finding the Third Proportional to 6,222.50 and 13,538.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,222.50 : 13,538.63 = 13,538.63 : x
2. Step 2: Convert to fraction form
   6,222.50/13,538.63 = 13,538.63/x
3. Step 3: Cross multiply
   6,222.50x = 13,538.63 × 13,538.63
4. Step 4: Simplify right side
   6,222.50x = 183,294,366.89
5. Step 5: Solve for x
   x = 183,294,366.89/6,222.50
6. Step 6: Final answer
   x = 29,456.71