Finding the Third Proportional to 37,981.13 and 83,121.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,981.13 : 83,121.75 = 83,121.75 : x
2. Step 2: Convert to fraction form
   37,981.13/83,121.75 = 83,121.75/x
3. Step 3: Cross multiply
   37,981.13x = 83,121.75 × 83,121.75
4. Step 4: Simplify right side
   37,981.13x = 6,909,225,323.06
5. Step 5: Solve for x
   x = 6,909,225,323.06/37,981.13
6. Step 6: Final answer
   x = 181,912.08