Finding the Third Proportional to 5,748 and 13,486.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,748 : 13,486.50 = 13,486.50 : x
2. Step 2: Convert to fraction form
   5,748/13,486.50 = 13,486.50/x
3. Step 3: Cross multiply
   5,748x = 13,486.50 × 13,486.50
4. Step 4: Simplify right side
   5,748x = 181,885,682.25
5. Step 5: Solve for x
   x = 181,885,682.25/5,748
6. Step 6: Final answer
   x = 31,643.30