Finding the Third Proportional to 42,564 and 64,998

Step by Step Solution

1. Step 1: Write the proportion equation
   42,564 : 64,998 = 64,998 : x
2. Step 2: Convert to fraction form
   42,564/64,998 = 64,998/x
3. Step 3: Cross multiply
   42,564x = 64,998 × 64,998
4. Step 4: Simplify right side
   42,564x = 4,224,740,004
5. Step 5: Solve for x
   x = 4,224,740,004/42,564
6. Step 6: Final answer
   x = 99,256.18