Finding the Third Proportional to 5,045.63 and 7,841.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,045.63 : 7,841.81 = 7,841.81 : x
2. Step 2: Convert to fraction form
   5,045.63/7,841.81 = 7,841.81/x
3. Step 3: Cross multiply
   5,045.63x = 7,841.81 × 7,841.81
4. Step 4: Simplify right side
   5,045.63x = 61,494,023.29
5. Step 5: Solve for x
   x = 61,494,023.29/5,045.63
6. Step 6: Final answer
   x = 12,187.59