Finding the Third Proportional to 7,645.50 and 10,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,645.50 : 10,075.50 = 10,075.50 : x
2. Step 2: Convert to fraction form
   7,645.50/10,075.50 = 10,075.50/x
3. Step 3: Cross multiply
   7,645.50x = 10,075.50 × 10,075.50
4. Step 4: Simplify right side
   7,645.50x = 101,515,700.25
5. Step 5: Solve for x
   x = 101,515,700.25/7,645.50
6. Step 6: Final answer
   x = 13,277.84