Finding the Third Proportional to 37,880 and 56,085

Step by Step Solution

1. Step 1: Write the proportion equation
   37,880 : 56,085 = 56,085 : x
2. Step 2: Convert to fraction form
   37,880/56,085 = 56,085/x
3. Step 3: Cross multiply
   37,880x = 56,085 × 56,085
4. Step 4: Simplify right side
   37,880x = 3,145,527,225
5. Step 5: Solve for x
   x = 3,145,527,225/37,880
6. Step 6: Final answer
   x = 83,039.26