Finding the Third Proportional to 28,642 and 61,414

Step by Step Solution

1. Step 1: Write the proportion equation
   28,642 : 61,414 = 61,414 : x
2. Step 2: Convert to fraction form
   28,642/61,414 = 61,414/x
3. Step 3: Cross multiply
   28,642x = 61,414 × 61,414
4. Step 4: Simplify right side
   28,642x = 3,771,679,396
5. Step 5: Solve for x
   x = 3,771,679,396/28,642
6. Step 6: Final answer
   x = 131,683.52