Finding the Third Proportional to 42,426 and 64,175

Step by Step Solution

1. Step 1: Write the proportion equation
   42,426 : 64,175 = 64,175 : x
2. Step 2: Convert to fraction form
   42,426/64,175 = 64,175/x
3. Step 3: Cross multiply
   42,426x = 64,175 × 64,175
4. Step 4: Simplify right side
   42,426x = 4,118,430,625
5. Step 5: Solve for x
   x = 4,118,430,625/42,426
6. Step 6: Final answer
   x = 97,073.27