Finding the Third Proportional to 42,782 and 62,229

Step by Step Solution

1. Step 1: Write the proportion equation
   42,782 : 62,229 = 62,229 : x
2. Step 2: Convert to fraction form
   42,782/62,229 = 62,229/x
3. Step 3: Cross multiply
   42,782x = 62,229 × 62,229
4. Step 4: Simplify right side
   42,782x = 3,872,448,441
5. Step 5: Solve for x
   x = 3,872,448,441/42,782
6. Step 6: Final answer
   x = 90,515.83