Finding the Third Proportional to 27,742.50 and 42,908.48

Step by Step Solution

1. Step 1: Write the proportion equation
   27,742.50 : 42,908.48 = 42,908.48 : x
2. Step 2: Convert to fraction form
   27,742.50/42,908.48 = 42,908.48/x
3. Step 3: Cross multiply
   27,742.50x = 42,908.48 × 42,908.48
4. Step 4: Simplify right side
   27,742.50x = 1,841,138,031.36
5. Step 5: Solve for x
   x = 1,841,138,031.36/27,742.50
6. Step 6: Final answer
   x = 66,365.25