Finding the Third Proportional to 37,780 and 55,582

Step by Step Solution

1. Step 1: Write the proportion equation
   37,780 : 55,582 = 55,582 : x
2. Step 2: Convert to fraction form
   37,780/55,582 = 55,582/x
3. Step 3: Cross multiply
   37,780x = 55,582 × 55,582
4. Step 4: Simplify right side
   37,780x = 3,089,358,724
5. Step 5: Solve for x
   x = 3,089,358,724/37,780
6. Step 6: Final answer
   x = 81,772.33