Finding the Third Proportional to 37,838 and 58,552

Step by Step Solution

1. Step 1: Write the proportion equation
   37,838 : 58,552 = 58,552 : x
2. Step 2: Convert to fraction form
   37,838/58,552 = 58,552/x
3. Step 3: Cross multiply
   37,838x = 58,552 × 58,552
4. Step 4: Simplify right side
   37,838x = 3,428,336,704
5. Step 5: Solve for x
   x = 3,428,336,704/37,838
6. Step 6: Final answer
   x = 90,605.65