Finding the Third Proportional to 19,545 and 42,978

Step by Step Solution

1. Step 1: Write the proportion equation
   19,545 : 42,978 = 42,978 : x
2. Step 2: Convert to fraction form
   19,545/42,978 = 42,978/x
3. Step 3: Cross multiply
   19,545x = 42,978 × 42,978
4. Step 4: Simplify right side
   19,545x = 1,847,108,484
5. Step 5: Solve for x
   x = 1,847,108,484/19,545
6. Step 6: Final answer
   x = 94,505.42