Finding the Third Proportional to 31,266 and 52,011

Step by Step Solution

1. Step 1: Write the proportion equation
   31,266 : 52,011 = 52,011 : x
2. Step 2: Convert to fraction form
   31,266/52,011 = 52,011/x
3. Step 3: Cross multiply
   31,266x = 52,011 × 52,011
4. Step 4: Simplify right side
   31,266x = 2,705,144,121
5. Step 5: Solve for x
   x = 2,705,144,121/31,266
6. Step 6: Final answer
   x = 86,520.31