Finding the Third Proportional to 45,634 and 61,041

Step by Step Solution

1. Step 1: Write the proportion equation
   45,634 : 61,041 = 61,041 : x
2. Step 2: Convert to fraction form
   45,634/61,041 = 61,041/x
3. Step 3: Cross multiply
   45,634x = 61,041 × 61,041
4. Step 4: Simplify right side
   45,634x = 3,726,003,681
5. Step 5: Solve for x
   x = 3,726,003,681/45,634
6. Step 6: Final answer
   x = 81,649.73