Finding the Third Proportional to 42,425 and 64,174

Step by Step Solution

1. Step 1: Write the proportion equation
   42,425 : 64,174 = 64,174 : x
2. Step 2: Convert to fraction form
   42,425/64,174 = 64,174/x
3. Step 3: Cross multiply
   42,425x = 64,174 × 64,174
4. Step 4: Simplify right side
   42,425x = 4,118,302,276
5. Step 5: Solve for x
   x = 4,118,302,276/42,425
6. Step 6: Final answer
   x = 97,072.53