Finding the Third Proportional to 15,516 and 34,164

Step by Step Solution

1. Step 1: Write the proportion equation
   15,516 : 34,164 = 34,164 : x
2. Step 2: Convert to fraction form
   15,516/34,164 = 34,164/x
3. Step 3: Cross multiply
   15,516x = 34,164 × 34,164
4. Step 4: Simplify right side
   15,516x = 1,167,178,896
5. Step 5: Solve for x
   x = 1,167,178,896/15,516
6. Step 6: Final answer
   x = 75,224.21