Finding the Third Proportional to 37,683 and 55,478.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,683 : 55,478.25 = 55,478.25 : x
2. Step 2: Convert to fraction form
   37,683/55,478.25 = 55,478.25/x
3. Step 3: Cross multiply
   37,683x = 55,478.25 × 55,478.25
4. Step 4: Simplify right side
   37,683x = 3,077,836,223.06
5. Step 5: Solve for x
   x = 3,077,836,223.06/37,683
6. Step 6: Final answer
   x = 81,677.05