Finding the Third Proportional to 42,669 and 64,593

Step by Step Solution

1. Step 1: Write the proportion equation
   42,669 : 64,593 = 64,593 : x
2. Step 2: Convert to fraction form
   42,669/64,593 = 64,593/x
3. Step 3: Cross multiply
   42,669x = 64,593 × 64,593
4. Step 4: Simplify right side
   42,669x = 4,172,255,649
5. Step 5: Solve for x
   x = 4,172,255,649/42,669
6. Step 6: Final answer
   x = 97,781.89