Finding the Third Proportional to 37,600 and 52,616

Step by Step Solution

1. Step 1: Write the proportion equation
   37,600 : 52,616 = 52,616 : x
2. Step 2: Convert to fraction form
   37,600/52,616 = 52,616/x
3. Step 3: Cross multiply
   37,600x = 52,616 × 52,616
4. Step 4: Simplify right side
   37,600x = 2,768,443,456
5. Step 5: Solve for x
   x = 2,768,443,456/37,600
6. Step 6: Final answer
   x = 73,628.82