Finding the Third Proportional to 42,154 and 56,567

Step by Step Solution

1. Step 1: Write the proportion equation
   42,154 : 56,567 = 56,567 : x
2. Step 2: Convert to fraction form
   42,154/56,567 = 56,567/x
3. Step 3: Cross multiply
   42,154x = 56,567 × 56,567
4. Step 4: Simplify right side
   42,154x = 3,199,825,489
5. Step 5: Solve for x
   x = 3,199,825,489/42,154
6. Step 6: Final answer
   x = 75,907.99