Finding the Third Proportional to 37,184 and 52,128

Step by Step Solution

1. Step 1: Write the proportion equation
   37,184 : 52,128 = 52,128 : x
2. Step 2: Convert to fraction form
   37,184/52,128 = 52,128/x
3. Step 3: Cross multiply
   37,184x = 52,128 × 52,128
4. Step 4: Simplify right side
   37,184x = 2,717,328,384
5. Step 5: Solve for x
   x = 2,717,328,384/37,184
6. Step 6: Final answer
   x = 73,077.89