Finding the Third Proportional to 27,094.50 and 39,502.69

Step by Step Solution

1. Step 1: Write the proportion equation
   27,094.50 : 39,502.69 = 39,502.69 : x
2. Step 2: Convert to fraction form
   27,094.50/39,502.69 = 39,502.69/x
3. Step 3: Cross multiply
   27,094.50x = 39,502.69 × 39,502.69
4. Step 4: Simplify right side
   27,094.50x = 1,560,462,319.72
5. Step 5: Solve for x
   x = 1,560,462,319.72/27,094.50
6. Step 6: Final answer
   x = 57,593.32