Finding the Third Proportional to 40,215 and 52,882

Step by Step Solution

1. Step 1: Write the proportion equation
   40,215 : 52,882 = 52,882 : x
2. Step 2: Convert to fraction form
   40,215/52,882 = 52,882/x
3. Step 3: Cross multiply
   40,215x = 52,882 × 52,882
4. Step 4: Simplify right side
   40,215x = 2,796,505,924
5. Step 5: Solve for x
   x = 2,796,505,924/40,215
6. Step 6: Final answer
   x = 69,538.88