Finding the Third Proportional to 31,009 and 65,312

Step by Step Solution

1. Step 1: Write the proportion equation
   31,009 : 65,312 = 65,312 : x
2. Step 2: Convert to fraction form
   31,009/65,312 = 65,312/x
3. Step 3: Cross multiply
   31,009x = 65,312 × 65,312
4. Step 4: Simplify right side
   31,009x = 4,265,657,344
5. Step 5: Solve for x
   x = 4,265,657,344/31,009
6. Step 6: Final answer
   x = 137,561.91