Finding the Third Proportional to 31,926 and 69,447

Step by Step Solution

1. Step 1: Write the proportion equation
   31,926 : 69,447 = 69,447 : x
2. Step 2: Convert to fraction form
   31,926/69,447 = 69,447/x
3. Step 3: Cross multiply
   31,926x = 69,447 × 69,447
4. Step 4: Simplify right side
   31,926x = 4,822,885,809
5. Step 5: Solve for x
   x = 4,822,885,809/31,926
6. Step 6: Final answer
   x = 151,064.52