Finding the Third Proportional to 38,774.25 and 83,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,774.25 : 83,738.25 = 83,738.25 : x
2. Step 2: Convert to fraction form
   38,774.25/83,738.25 = 83,738.25/x
3. Step 3: Cross multiply
   38,774.25x = 83,738.25 × 83,738.25
4. Step 4: Simplify right side
   38,774.25x = 7,012,094,513.06
5. Step 5: Solve for x
   x = 7,012,094,513.06/38,774.25
6. Step 6: Final answer
   x = 180,844.10