Finding the Third Proportional to 37,563 and 52,513

Step by Step Solution

1. Step 1: Write the proportion equation
   37,563 : 52,513 = 52,513 : x
2. Step 2: Convert to fraction form
   37,563/52,513 = 52,513/x
3. Step 3: Cross multiply
   37,563x = 52,513 × 52,513
4. Step 4: Simplify right side
   37,563x = 2,757,615,169
5. Step 5: Solve for x
   x = 2,757,615,169/37,563
6. Step 6: Final answer
   x = 73,413.07