Finding the Third Proportional to 37,981 and 83,113

Step by Step Solution

1. Step 1: Write the proportion equation
   37,981 : 83,113 = 83,113 : x
2. Step 2: Convert to fraction form
   37,981/83,113 = 83,113/x
3. Step 3: Cross multiply
   37,981x = 83,113 × 83,113
4. Step 4: Simplify right side
   37,981x = 6,907,770,769
5. Step 5: Solve for x
   x = 6,907,770,769/37,981
6. Step 6: Final answer
   x = 181,874.38