Finding the Third Proportional to 38,518.50 and 83,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,518.50 : 83,354.50 = 83,354.50 : x
2. Step 2: Convert to fraction form
   38,518.50/83,354.50 = 83,354.50/x
3. Step 3: Cross multiply
   38,518.50x = 83,354.50 × 83,354.50
4. Step 4: Simplify right side
   38,518.50x = 6,947,972,670.25
5. Step 5: Solve for x
   x = 6,947,972,670.25/38,518.50
6. Step 6: Final answer
   x = 180,380.15