Finding the Third Proportional to 37,032 and 80,838

Step by Step Solution

1. Step 1: Write the proportion equation
   37,032 : 80,838 = 80,838 : x
2. Step 2: Convert to fraction form
   37,032/80,838 = 80,838/x
3. Step 3: Cross multiply
   37,032x = 80,838 × 80,838
4. Step 4: Simplify right side
   37,032x = 6,534,782,244
5. Step 5: Solve for x
   x = 6,534,782,244/37,032
6. Step 6: Final answer
   x = 176,463.12