Finding the Third Proportional to 5,406.75 and 13,085.93

Step by Step Solution

1. Step 1: Write the proportion equation
   5,406.75 : 13,085.93 = 13,085.93 : x
2. Step 2: Convert to fraction form
   5,406.75/13,085.93 = 13,085.93/x
3. Step 3: Cross multiply
   5,406.75x = 13,085.93 × 13,085.93
4. Step 4: Simplify right side
   5,406.75x = 171,241,555.79
5. Step 5: Solve for x
   x = 171,241,555.79/5,406.75
6. Step 6: Final answer
   x = 31,671.81