Finding the Third Proportional to 5,695.31 and 13,302.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,695.31 : 13,302.56 = 13,302.56 : x
2. Step 2: Convert to fraction form
   5,695.31/13,302.56 = 13,302.56/x
3. Step 3: Cross multiply
   5,695.31x = 13,302.56 × 13,302.56
4. Step 4: Simplify right side
   5,695.31x = 176,958,169.07
5. Step 5: Solve for x
   x = 176,958,169.07/5,695.31
6. Step 6: Final answer
   x = 31,070.84