Finding the Third Proportional to 5,788.13 and 13,123.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,788.13 : 13,123.69 = 13,123.69 : x
2. Step 2: Convert to fraction form
   5,788.13/13,123.69 = 13,123.69/x
3. Step 3: Cross multiply
   5,788.13x = 13,123.69 × 13,123.69
4. Step 4: Simplify right side
   5,788.13x = 172,231,173.60
5. Step 5: Solve for x
   x = 172,231,173.60/5,788.13
6. Step 6: Final answer
   x = 29,755.95