Finding the Third Proportional to 10,141 and 13,565

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141 : 13,565 = 13,565 : x
2. Step 2: Convert to fraction form
   10,141/13,565 = 13,565/x
3. Step 3: Cross multiply
   10,141x = 13,565 × 13,565
4. Step 4: Simplify right side
   10,141x = 184,009,225
5. Step 5: Solve for x
   x = 184,009,225/10,141
6. Step 6: Final answer
   x = 18,145.08