Finding the Third Proportional to 30,136 and 65,558

Step by Step Solution

1. Step 1: Write the proportion equation
   30,136 : 65,558 = 65,558 : x
2. Step 2: Convert to fraction form
   30,136/65,558 = 65,558/x
3. Step 3: Cross multiply
   30,136x = 65,558 × 65,558
4. Step 4: Simplify right side
   30,136x = 4,297,851,364
5. Step 5: Solve for x
   x = 4,297,851,364/30,136
6. Step 6: Final answer
   x = 142,615.19