Finding the Third Proportional to 37,969.75 and 83,087.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,969.75 : 83,087.75 = 83,087.75 : x
2. Step 2: Convert to fraction form
   37,969.75/83,087.75 = 83,087.75/x
3. Step 3: Cross multiply
   37,969.75x = 83,087.75 × 83,087.75
4. Step 4: Simplify right side
   37,969.75x = 6,903,574,200.06
5. Step 5: Solve for x
   x = 6,903,574,200.06/37,969.75
6. Step 6: Final answer
   x = 181,817.74