Finding the Third Proportional to 15,776 and 34,654

Step by Step Solution

1. Step 1: Write the proportion equation
   15,776 : 34,654 = 34,654 : x
2. Step 2: Convert to fraction form
   15,776/34,654 = 34,654/x
3. Step 3: Cross multiply
   15,776x = 34,654 × 34,654
4. Step 4: Simplify right side
   15,776x = 1,200,899,716
5. Step 5: Solve for x
   x = 1,200,899,716/15,776
6. Step 6: Final answer
   x = 76,121.94