Finding the Third Proportional to 35,977.50 and 54,468

Step by Step Solution

1. Step 1: Write the proportion equation
   35,977.50 : 54,468 = 54,468 : x
2. Step 2: Convert to fraction form
   35,977.50/54,468 = 54,468/x
3. Step 3: Cross multiply
   35,977.50x = 54,468 × 54,468
4. Step 4: Simplify right side
   35,977.50x = 2,966,763,024
5. Step 5: Solve for x
   x = 2,966,763,024/35,977.50
6. Step 6: Final answer
   x = 82,461.62