Finding the Third Proportional to 9,784 and 23,075

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784 : 23,075 = 23,075 : x
2. Step 2: Convert to fraction form
   9,784/23,075 = 23,075/x
3. Step 3: Cross multiply
   9,784x = 23,075 × 23,075
4. Step 4: Simplify right side
   9,784x = 532,455,625
5. Step 5: Solve for x
   x = 532,455,625/9,784
6. Step 6: Final answer
   x = 54,421.06