Finding the Third Proportional to 37,976 and 83,264

Step by Step Solution

1. Step 1: Write the proportion equation
   37,976 : 83,264 = 83,264 : x
2. Step 2: Convert to fraction form
   37,976/83,264 = 83,264/x
3. Step 3: Cross multiply
   37,976x = 83,264 × 83,264
4. Step 4: Simplify right side
   37,976x = 6,932,893,696
5. Step 5: Solve for x
   x = 6,932,893,696/37,976
6. Step 6: Final answer
   x = 182,559.87