Finding the Third Proportional to 37,945 and 58,629

Step by Step Solution

1. Step 1: Write the proportion equation
   37,945 : 58,629 = 58,629 : x
2. Step 2: Convert to fraction form
   37,945/58,629 = 58,629/x
3. Step 3: Cross multiply
   37,945x = 58,629 × 58,629
4. Step 4: Simplify right side
   37,945x = 3,437,359,641
5. Step 5: Solve for x
   x = 3,437,359,641/37,945
6. Step 6: Final answer
   x = 90,587.95