Finding the Third Proportional to 27,769.50 and 59,643

Step by Step Solution

1. Step 1: Write the proportion equation
   27,769.50 : 59,643 = 59,643 : x
2. Step 2: Convert to fraction form
   27,769.50/59,643 = 59,643/x
3. Step 3: Cross multiply
   27,769.50x = 59,643 × 59,643
4. Step 4: Simplify right side
   27,769.50x = 3,557,287,449
5. Step 5: Solve for x
   x = 3,557,287,449/27,769.50
6. Step 6: Final answer
   x = 128,100.52