Finding the Third Proportional to 15,736.50 and 34,138.88

Step by Step Solution

1. Step 1: Write the proportion equation
   15,736.50 : 34,138.88 = 34,138.88 : x
2. Step 2: Convert to fraction form
   15,736.50/34,138.88 = 34,138.88/x
3. Step 3: Cross multiply
   15,736.50x = 34,138.88 × 34,138.88
4. Step 4: Simplify right side
   15,736.50x = 1,165,462,786.27
5. Step 5: Solve for x
   x = 1,165,462,786.27/15,736.50
6. Step 6: Final answer
   x = 74,061.12