Finding the Third Proportional to 6,152.63 and 9,468.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,152.63 : 9,468.56 = 9,468.56 : x
2. Step 2: Convert to fraction form
   6,152.63/9,468.56 = 9,468.56/x
3. Step 3: Cross multiply
   6,152.63x = 9,468.56 × 9,468.56
4. Step 4: Simplify right side
   6,152.63x = 89,653,675.82
5. Step 5: Solve for x
   x = 89,653,675.82/6,152.63
6. Step 6: Final answer
   x = 14,571.61