Finding the Third Proportional to 45,462 and 61,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,462 : 61,153.50 = 61,153.50 : x
2. Step 2: Convert to fraction form
   45,462/61,153.50 = 61,153.50/x
3. Step 3: Cross multiply
   45,462x = 61,153.50 × 61,153.50
4. Step 4: Simplify right side
   45,462x = 3,739,750,562.25
5. Step 5: Solve for x
   x = 3,739,750,562.25/45,462
6. Step 6: Final answer
   x = 82,261.02