Finding the Third Proportional to 72,476 and 105,565

Step by Step Solution

1. Step 1: Write the proportion equation
   72,476 : 105,565 = 105,565 : x
2. Step 2: Convert to fraction form
   72,476/105,565 = 105,565/x
3. Step 3: Cross multiply
   72,476x = 105,565 × 105,565
4. Step 4: Simplify right side
   72,476x = 11,143,969,225
5. Step 5: Solve for x
   x = 11,143,969,225/72,476
6. Step 6: Final answer
   x = 153,760.82