Finding the Third Proportional to 37,128 and 80,094

Step by Step Solution

1. Step 1: Write the proportion equation
   37,128 : 80,094 = 80,094 : x
2. Step 2: Convert to fraction form
   37,128/80,094 = 80,094/x
3. Step 3: Cross multiply
   37,128x = 80,094 × 80,094
4. Step 4: Simplify right side
   37,128x = 6,415,048,836
5. Step 5: Solve for x
   x = 6,415,048,836/37,128
6. Step 6: Final answer
   x = 172,781.97