Finding the Third Proportional to 28,694 and 42,166

Step by Step Solution

1. Step 1: Write the proportion equation
   28,694 : 42,166 = 42,166 : x
2. Step 2: Convert to fraction form
   28,694/42,166 = 42,166/x
3. Step 3: Cross multiply
   28,694x = 42,166 × 42,166
4. Step 4: Simplify right side
   28,694x = 1,777,971,556
5. Step 5: Solve for x
   x = 1,777,971,556/28,694
6. Step 6: Final answer
   x = 61,963.18