Finding the Third Proportional to 42,654 and 64,569

Step by Step Solution

1. Step 1: Write the proportion equation
   42,654 : 64,569 = 64,569 : x
2. Step 2: Convert to fraction form
   42,654/64,569 = 64,569/x
3. Step 3: Cross multiply
   42,654x = 64,569 × 64,569
4. Step 4: Simplify right side
   42,654x = 4,169,155,761
5. Step 5: Solve for x
   x = 4,169,155,761/42,654
6. Step 6: Final answer
   x = 97,743.61