Finding the Third Proportional to 27,769.50 and 42,342.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,769.50 : 42,342.75 = 42,342.75 : x
2. Step 2: Convert to fraction form
   27,769.50/42,342.75 = 42,342.75/x
3. Step 3: Cross multiply
   27,769.50x = 42,342.75 × 42,342.75
4. Step 4: Simplify right side
   27,769.50x = 1,792,908,477.56
5. Step 5: Solve for x
   x = 1,792,908,477.56/27,769.50
6. Step 6: Final answer
   x = 64,563.95