Finding the Third Proportional to 5,788.97 and 13,535.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,788.97 : 13,535.86 = 13,535.86 : x
2. Step 2: Convert to fraction form
   5,788.97/13,535.86 = 13,535.86/x
3. Step 3: Cross multiply
   5,788.97x = 13,535.86 × 13,535.86
4. Step 4: Simplify right side
   5,788.97x = 183,219,489.02
5. Step 5: Solve for x
   x = 183,219,489.02/5,788.97
6. Step 6: Final answer
   x = 31,649.76