Finding the Third Proportional to 10,842.19 and 16,574.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,842.19 : 16,574.63 = 16,574.63 : x
2. Step 2: Convert to fraction form
   10,842.19/16,574.63 = 16,574.63/x
3. Step 3: Cross multiply
   10,842.19x = 16,574.63 × 16,574.63
4. Step 4: Simplify right side
   10,842.19x = 274,718,193.89
5. Step 5: Solve for x
   x = 274,718,193.89/10,842.19
6. Step 6: Final answer
   x = 25,337.89