Finding the Third Proportional to 42,446 and 64,641

Step by Step Solution

1. Step 1: Write the proportion equation
   42,446 : 64,641 = 64,641 : x
2. Step 2: Convert to fraction form
   42,446/64,641 = 64,641/x
3. Step 3: Cross multiply
   42,446x = 64,641 × 64,641
4. Step 4: Simplify right side
   42,446x = 4,178,458,881
5. Step 5: Solve for x
   x = 4,178,458,881/42,446
6. Step 6: Final answer
   x = 98,441.76