Finding the Third Proportional to 10,075.50 and 14,094.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.50 : 14,094.56 = 14,094.56 : x
2. Step 2: Convert to fraction form
   10,075.50/14,094.56 = 14,094.56/x
3. Step 3: Cross multiply
   10,075.50x = 14,094.56 × 14,094.56
4. Step 4: Simplify right side
   10,075.50x = 198,656,692.07
5. Step 5: Solve for x
   x = 198,656,692.07/10,075.50
6. Step 6: Final answer
   x = 19,716.81