Finding the Third Proportional to 37,565 and 58,136

Step by Step Solution

1. Step 1: Write the proportion equation
   37,565 : 58,136 = 58,136 : x
2. Step 2: Convert to fraction form
   37,565/58,136 = 58,136/x
3. Step 3: Cross multiply
   37,565x = 58,136 × 58,136
4. Step 4: Simplify right side
   37,565x = 3,379,794,496
5. Step 5: Solve for x
   x = 3,379,794,496/37,565
6. Step 6: Final answer
   x = 89,971.90