Finding the Third Proportional to 37,448 and 53,516

Step by Step Solution

1. Step 1: Write the proportion equation
   37,448 : 53,516 = 53,516 : x
2. Step 2: Convert to fraction form
   37,448/53,516 = 53,516/x
3. Step 3: Cross multiply
   37,448x = 53,516 × 53,516
4. Step 4: Simplify right side
   37,448x = 2,863,962,256
5. Step 5: Solve for x
   x = 2,863,962,256/37,448
6. Step 6: Final answer
   x = 76,478.38