Finding the Third Proportional to 37,808 and 83,128

Step by Step Solution

1. Step 1: Write the proportion equation
   37,808 : 83,128 = 83,128 : x
2. Step 2: Convert to fraction form
   37,808/83,128 = 83,128/x
3. Step 3: Cross multiply
   37,808x = 83,128 × 83,128
4. Step 4: Simplify right side
   37,808x = 6,910,264,384
5. Step 5: Solve for x
   x = 6,910,264,384/37,808
6. Step 6: Final answer
   x = 182,772.55