Finding the Third Proportional to 45,188 and 67,645

Step by Step Solution

1. Step 1: Write the proportion equation
   45,188 : 67,645 = 67,645 : x
2. Step 2: Convert to fraction form
   45,188/67,645 = 67,645/x
3. Step 3: Cross multiply
   45,188x = 67,645 × 67,645
4. Step 4: Simplify right side
   45,188x = 4,575,846,025
5. Step 5: Solve for x
   x = 4,575,846,025/45,188
6. Step 6: Final answer
   x = 101,262.42