Finding the Third Proportional to 38,085.75 and 83,553.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,085.75 : 83,553.75 = 83,553.75 : x
2. Step 2: Convert to fraction form
   38,085.75/83,553.75 = 83,553.75/x
3. Step 3: Cross multiply
   38,085.75x = 83,553.75 × 83,553.75
4. Step 4: Simplify right side
   38,085.75x = 6,981,229,139.06
5. Step 5: Solve for x
   x = 6,981,229,139.06/38,085.75
6. Step 6: Final answer
   x = 183,302.92