Finding the Third Proportional to 42,402 and 66,684

Step by Step Solution

1. Step 1: Write the proportion equation
   42,402 : 66,684 = 66,684 : x
2. Step 2: Convert to fraction form
   42,402/66,684 = 66,684/x
3. Step 3: Cross multiply
   42,402x = 66,684 × 66,684
4. Step 4: Simplify right side
   42,402x = 4,446,755,856
5. Step 5: Solve for x
   x = 4,446,755,856/42,402
6. Step 6: Final answer
   x = 104,871.37