Finding the Third Proportional to 42,136 and 89,024

Step by Step Solution

1. Step 1: Write the proportion equation
   42,136 : 89,024 = 89,024 : x
2. Step 2: Convert to fraction form
   42,136/89,024 = 89,024/x
3. Step 3: Cross multiply
   42,136x = 89,024 × 89,024
4. Step 4: Simplify right side
   42,136x = 7,925,272,576
5. Step 5: Solve for x
   x = 7,925,272,576/42,136
6. Step 6: Final answer
   x = 188,087.92