Finding the Third Proportional to 37,629 and 58,296

Step by Step Solution

1. Step 1: Write the proportion equation
   37,629 : 58,296 = 58,296 : x
2. Step 2: Convert to fraction form
   37,629/58,296 = 58,296/x
3. Step 3: Cross multiply
   37,629x = 58,296 × 58,296
4. Step 4: Simplify right side
   37,629x = 3,398,423,616
5. Step 5: Solve for x
   x = 3,398,423,616/37,629
6. Step 6: Final answer
   x = 90,313.95