Finding the Third Proportional to 42,569 and 64,445

Step by Step Solution

1. Step 1: Write the proportion equation
   42,569 : 64,445 = 64,445 : x
2. Step 2: Convert to fraction form
   42,569/64,445 = 64,445/x
3. Step 3: Cross multiply
   42,569x = 64,445 × 64,445
4. Step 4: Simplify right side
   42,569x = 4,153,158,025
5. Step 5: Solve for x
   x = 4,153,158,025/42,569
6. Step 6: Final answer
   x = 97,562.97