Finding the Third Proportional to 6,178.78 and 13,528.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178.78 : 13,528.69 = 13,528.69 : x
2. Step 2: Convert to fraction form
   6,178.78/13,528.69 = 13,528.69/x
3. Step 3: Cross multiply
   6,178.78x = 13,528.69 × 13,528.69
4. Step 4: Simplify right side
   6,178.78x = 183,025,385.47
5. Step 5: Solve for x
   x = 183,025,385.47/6,178.78
6. Step 6: Final answer
   x = 29,621.60