Finding the Third Proportional to 17,742 and 27,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742 : 27,832.50 = 27,832.50 : x
2. Step 2: Convert to fraction form
   17,742/27,832.50 = 27,832.50/x
3. Step 3: Cross multiply
   17,742x = 27,832.50 × 27,832.50
4. Step 4: Simplify right side
   17,742x = 774,648,056.25
5. Step 5: Solve for x
   x = 774,648,056.25/17,742
6. Step 6: Final answer
   x = 43,661.82