Finding the Third Proportional to 5,622.75 and 13,586.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,622.75 : 13,586.06 = 13,586.06 : x
2. Step 2: Convert to fraction form
   5,622.75/13,586.06 = 13,586.06/x
3. Step 3: Cross multiply
   5,622.75x = 13,586.06 × 13,586.06
4. Step 4: Simplify right side
   5,622.75x = 184,581,094.25
5. Step 5: Solve for x
   x = 184,581,094.25/5,622.75
6. Step 6: Final answer
   x = 32,827.55