Finding the Third Proportional to 19,549 and 42,129

Step by Step Solution

1. Step 1: Write the proportion equation
   19,549 : 42,129 = 42,129 : x
2. Step 2: Convert to fraction form
   19,549/42,129 = 42,129/x
3. Step 3: Cross multiply
   19,549x = 42,129 × 42,129
4. Step 4: Simplify right side
   19,549x = 1,774,852,641
5. Step 5: Solve for x
   x = 1,774,852,641/19,549
6. Step 6: Final answer
   x = 90,789.95