Finding the Third Proportional to 19,136 and 35,536

Step by Step Solution

1. Step 1: Write the proportion equation
   19,136 : 35,536 = 35,536 : x
2. Step 2: Convert to fraction form
   19,136/35,536 = 35,536/x
3. Step 3: Cross multiply
   19,136x = 35,536 × 35,536
4. Step 4: Simplify right side
   19,136x = 1,262,807,296
5. Step 5: Solve for x
   x = 1,262,807,296/19,136
6. Step 6: Final answer
   x = 65,991.18