Finding the Third Proportional to 37,136 and 56,019

Step by Step Solution

1. Step 1: Write the proportion equation
   37,136 : 56,019 = 56,019 : x
2. Step 2: Convert to fraction form
   37,136/56,019 = 56,019/x
3. Step 3: Cross multiply
   37,136x = 56,019 × 56,019
4. Step 4: Simplify right side
   37,136x = 3,138,128,361
5. Step 5: Solve for x
   x = 3,138,128,361/37,136
6. Step 6: Final answer
   x = 84,503.67