Finding the Third Proportional to 23,646 and 34,776

Step by Step Solution

1. Step 1: Write the proportion equation
   23,646 : 34,776 = 34,776 : x
2. Step 2: Convert to fraction form
   23,646/34,776 = 34,776/x
3. Step 3: Cross multiply
   23,646x = 34,776 × 34,776
4. Step 4: Simplify right side
   23,646x = 1,209,370,176
5. Step 5: Solve for x
   x = 1,209,370,176/23,646
6. Step 6: Final answer
   x = 51,144.81