Finding the Third Proportional to 9,878.25 and 17,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.25 : 17,566.50 = 17,566.50 : x
2. Step 2: Convert to fraction form
   9,878.25/17,566.50 = 17,566.50/x
3. Step 3: Cross multiply
   9,878.25x = 17,566.50 × 17,566.50
4. Step 4: Simplify right side
   9,878.25x = 308,581,922.25
5. Step 5: Solve for x
   x = 308,581,922.25/9,878.25
6. Step 6: Final answer
   x = 31,238.52