Finding the Third Proportional to 42,216 and 66,564

Step by Step Solution

1. Step 1: Write the proportion equation
   42,216 : 66,564 = 66,564 : x
2. Step 2: Convert to fraction form
   42,216/66,564 = 66,564/x
3. Step 3: Cross multiply
   42,216x = 66,564 × 66,564
4. Step 4: Simplify right side
   42,216x = 4,430,766,096
5. Step 5: Solve for x
   x = 4,430,766,096/42,216
6. Step 6: Final answer
   x = 104,954.66