Finding the Third Proportional to 9,874.41 and 13,302.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.41 : 13,302.98 = 13,302.98 : x
2. Step 2: Convert to fraction form
   9,874.41/13,302.98 = 13,302.98/x
3. Step 3: Cross multiply
   9,874.41x = 13,302.98 × 13,302.98
4. Step 4: Simplify right side
   9,874.41x = 176,969,393.28
5. Step 5: Solve for x
   x = 176,969,393.28/9,874.41
6. Step 6: Final answer
   x = 17,922.03