Finding the Third Proportional to 13,780.13 and 23,950.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,780.13 : 23,950.69 = 23,950.69 : x
2. Step 2: Convert to fraction form
   13,780.13/23,950.69 = 23,950.69/x
3. Step 3: Cross multiply
   13,780.13x = 23,950.69 × 23,950.69
4. Step 4: Simplify right side
   13,780.13x = 573,635,431.72
5. Step 5: Solve for x
   x = 573,635,431.72/13,780.13
6. Step 6: Final answer
   x = 41,627.74