Finding the Third Proportional to 5,667.75 and 14,788.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.75 : 14,788.13 = 14,788.13 : x
2. Step 2: Convert to fraction form
   5,667.75/14,788.13 = 14,788.13/x
3. Step 3: Cross multiply
   5,667.75x = 14,788.13 × 14,788.13
4. Step 4: Simplify right side
   5,667.75x = 218,688,641.02
5. Step 5: Solve for x
   x = 218,688,641.02/5,667.75
6. Step 6: Final answer
   x = 38,584.74