Finding the Third Proportional to 37,934 and 83,160

Step by Step Solution

1. Step 1: Write the proportion equation
   37,934 : 83,160 = 83,160 : x
2. Step 2: Convert to fraction form
   37,934/83,160 = 83,160/x
3. Step 3: Cross multiply
   37,934x = 83,160 × 83,160
4. Step 4: Simplify right side
   37,934x = 6,915,585,600
5. Step 5: Solve for x
   x = 6,915,585,600/37,934
6. Step 6: Final answer
   x = 182,305.73