Finding the Third Proportional to 31,523 and 64,486

Step by Step Solution

1. Step 1: Write the proportion equation
   31,523 : 64,486 = 64,486 : x
2. Step 2: Convert to fraction form
   31,523/64,486 = 64,486/x
3. Step 3: Cross multiply
   31,523x = 64,486 × 64,486
4. Step 4: Simplify right side
   31,523x = 4,158,444,196
5. Step 5: Solve for x
   x = 4,158,444,196/31,523
6. Step 6: Final answer
   x = 131,917.78