Finding the Third Proportional to 19,152 and 41,706

Step by Step Solution

1. Step 1: Write the proportion equation
   19,152 : 41,706 = 41,706 : x
2. Step 2: Convert to fraction form
   19,152/41,706 = 41,706/x
3. Step 3: Cross multiply
   19,152x = 41,706 × 41,706
4. Step 4: Simplify right side
   19,152x = 1,739,390,436
5. Step 5: Solve for x
   x = 1,739,390,436/19,152
6. Step 6: Final answer
   x = 90,820.30