Finding the Third Proportional to 35,304 and 54,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,304 : 54,083.50 = 54,083.50 : x
2. Step 2: Convert to fraction form
   35,304/54,083.50 = 54,083.50/x
3. Step 3: Cross multiply
   35,304x = 54,083.50 × 54,083.50
4. Step 4: Simplify right side
   35,304x = 2,925,024,972.25
5. Step 5: Solve for x
   x = 2,925,024,972.25/35,304
6. Step 6: Final answer
   x = 82,852.51