Finding the Third Proportional to 42,072 and 64,548

Step by Step Solution

1. Step 1: Write the proportion equation
   42,072 : 64,548 = 64,548 : x
2. Step 2: Convert to fraction form
   42,072/64,548 = 64,548/x
3. Step 3: Cross multiply
   42,072x = 64,548 × 64,548
4. Step 4: Simplify right side
   42,072x = 4,166,444,304
5. Step 5: Solve for x
   x = 4,166,444,304/42,072
6. Step 6: Final answer
   x = 99,031.29