Finding the Third Proportional to 16,459.50 and 35,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,459.50 : 35,689.50 = 35,689.50 : x
2. Step 2: Convert to fraction form
   16,459.50/35,689.50 = 35,689.50/x
3. Step 3: Cross multiply
   16,459.50x = 35,689.50 × 35,689.50
4. Step 4: Simplify right side
   16,459.50x = 1,273,740,410.25
5. Step 5: Solve for x
   x = 1,273,740,410.25/16,459.50
6. Step 6: Final answer
   x = 77,386.34