Finding the Third Proportional to 3,925.88 and 8,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,925.88 : 8,533.50 = 8,533.50 : x
2. Step 2: Convert to fraction form
   3,925.88/8,533.50 = 8,533.50/x
3. Step 3: Cross multiply
   3,925.88x = 8,533.50 × 8,533.50
4. Step 4: Simplify right side
   3,925.88x = 72,820,622.25
5. Step 5: Solve for x
   x = 72,820,622.25/3,925.88
6. Step 6: Final answer
   x = 18,548.89