Finding the Third Proportional to 38,141.75 and 83,064.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,141.75 : 83,064.25 = 83,064.25 : x
2. Step 2: Convert to fraction form
   38,141.75/83,064.25 = 83,064.25/x
3. Step 3: Cross multiply
   38,141.75x = 83,064.25 × 83,064.25
4. Step 4: Simplify right side
   38,141.75x = 6,899,669,628.06
5. Step 5: Solve for x
   x = 6,899,669,628.06/38,141.75
6. Step 6: Final answer
   x = 180,895.47