Finding the Third Proportional to 35,974.50 and 54,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,974.50 : 54,463.50 = 54,463.50 : x
2. Step 2: Convert to fraction form
   35,974.50/54,463.50 = 54,463.50/x
3. Step 3: Cross multiply
   35,974.50x = 54,463.50 × 54,463.50
4. Step 4: Simplify right side
   35,974.50x = 2,966,272,832.25
5. Step 5: Solve for x
   x = 2,966,272,832.25/35,974.50
6. Step 6: Final answer
   x = 82,454.87