Finding the Third Proportional to 37,683 and 58,322.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,683 : 58,322.25 = 58,322.25 : x
2. Step 2: Convert to fraction form
   37,683/58,322.25 = 58,322.25/x
3. Step 3: Cross multiply
   37,683x = 58,322.25 × 58,322.25
4. Step 4: Simplify right side
   37,683x = 3,401,484,845.06
5. Step 5: Solve for x
   x = 3,401,484,845.06/37,683
6. Step 6: Final answer
   x = 90,265.77