Finding the Third Proportional to 11,700 and 18,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,700 : 18,598.50 = 18,598.50 : x
2. Step 2: Convert to fraction form
   11,700/18,598.50 = 18,598.50/x
3. Step 3: Cross multiply
   11,700x = 18,598.50 × 18,598.50
4. Step 4: Simplify right side
   11,700x = 345,904,202.25
5. Step 5: Solve for x
   x = 345,904,202.25/11,700
6. Step 6: Final answer
   x = 29,564.46