Finding the Third Proportional to 3,641.63 and 7,873.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,641.63 : 7,873.88 = 7,873.88 : x
2. Step 2: Convert to fraction form
   3,641.63/7,873.88 = 7,873.88/x
3. Step 3: Cross multiply
   3,641.63x = 7,873.88 × 7,873.88
4. Step 4: Simplify right side
   3,641.63x = 61,997,907.52
5. Step 5: Solve for x
   x = 61,997,907.52/3,641.63
6. Step 6: Final answer
   x = 17,024.79