Finding the Third Proportional to 47,902 and 64,441

Step by Step Solution

1. Step 1: Write the proportion equation
   47,902 : 64,441 = 64,441 : x
2. Step 2: Convert to fraction form
   47,902/64,441 = 64,441/x
3. Step 3: Cross multiply
   47,902x = 64,441 × 64,441
4. Step 4: Simplify right side
   47,902x = 4,152,642,481
5. Step 5: Solve for x
   x = 4,152,642,481/47,902
6. Step 6: Final answer
   x = 86,690.38