Finding the Third Proportional to 31,509 and 64,458

Step by Step Solution

1. Step 1: Write the proportion equation
   31,509 : 64,458 = 64,458 : x
2. Step 2: Convert to fraction form
   31,509/64,458 = 64,458/x
3. Step 3: Cross multiply
   31,509x = 64,458 × 64,458
4. Step 4: Simplify right side
   31,509x = 4,154,833,764
5. Step 5: Solve for x
   x = 4,154,833,764/31,509
6. Step 6: Final answer
   x = 131,861.81