Finding the Third Proportional to 42,561 and 64,434

Step by Step Solution

1. Step 1: Write the proportion equation
   42,561 : 64,434 = 64,434 : x
2. Step 2: Convert to fraction form
   42,561/64,434 = 64,434/x
3. Step 3: Cross multiply
   42,561x = 64,434 × 64,434
4. Step 4: Simplify right side
   42,561x = 4,151,740,356
5. Step 5: Solve for x
   x = 4,151,740,356/42,561
6. Step 6: Final answer
   x = 97,548.00