Finding the Third Proportional to 3,526.31 and 7,538.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,526.31 : 7,538.63 = 7,538.63 : x
2. Step 2: Convert to fraction form
   3,526.31/7,538.63 = 7,538.63/x
3. Step 3: Cross multiply
   3,526.31x = 7,538.63 × 7,538.63
4. Step 4: Simplify right side
   3,526.31x = 56,830,866.89
5. Step 5: Solve for x
   x = 56,830,866.89/3,526.31
6. Step 6: Final answer
   x = 16,116.23