Finding the Third Proportional to 45,616.50 and 72,642

Step by Step Solution

1. Step 1: Write the proportion equation
   45,616.50 : 72,642 = 72,642 : x
2. Step 2: Convert to fraction form
   45,616.50/72,642 = 72,642/x
3. Step 3: Cross multiply
   45,616.50x = 72,642 × 72,642
4. Step 4: Simplify right side
   45,616.50x = 5,276,860,164
5. Step 5: Solve for x
   x = 5,276,860,164/45,616.50
6. Step 6: Final answer
   x = 115,678.76