Finding the Third Proportional to 9,770.63 and 23,616.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.63 : 23,616.56 = 23,616.56 : x
2. Step 2: Convert to fraction form
   9,770.63/23,616.56 = 23,616.56/x
3. Step 3: Cross multiply
   9,770.63x = 23,616.56 × 23,616.56
4. Step 4: Simplify right side
   9,770.63x = 557,742,024.32
5. Step 5: Solve for x
   x = 557,742,024.32/9,770.63
6. Step 6: Final answer
   x = 57,083.56