Finding the Third Proportional to 37,600 and 58,128

Step by Step Solution

1. Step 1: Write the proportion equation
   37,600 : 58,128 = 58,128 : x
2. Step 2: Convert to fraction form
   37,600/58,128 = 58,128/x
3. Step 3: Cross multiply
   37,600x = 58,128 × 58,128
4. Step 4: Simplify right side
   37,600x = 3,378,864,384
5. Step 5: Solve for x
   x = 3,378,864,384/37,600
6. Step 6: Final answer
   x = 89,863.41