Finding the Third Proportional to 10,075.50 and 21,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.50 : 21,770.50 = 21,770.50 : x
2. Step 2: Convert to fraction form
   10,075.50/21,770.50 = 21,770.50/x
3. Step 3: Cross multiply
   10,075.50x = 21,770.50 × 21,770.50
4. Step 4: Simplify right side
   10,075.50x = 473,954,670.25
5. Step 5: Solve for x
   x = 473,954,670.25/10,075.50
6. Step 6: Final answer
   x = 47,040.31