Finding the Third Proportional to 45,626 and 61,031

Step by Step Solution

1. Step 1: Write the proportion equation
   45,626 : 61,031 = 61,031 : x
2. Step 2: Convert to fraction form
   45,626/61,031 = 61,031/x
3. Step 3: Cross multiply
   45,626x = 61,031 × 61,031
4. Step 4: Simplify right side
   45,626x = 3,724,782,961
5. Step 5: Solve for x
   x = 3,724,782,961/45,626
6. Step 6: Final answer
   x = 81,637.29