Finding the Third Proportional to 16,417.50 and 35,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,417.50 : 35,980.50 = 35,980.50 : x
2. Step 2: Convert to fraction form
   16,417.50/35,980.50 = 35,980.50/x
3. Step 3: Cross multiply
   16,417.50x = 35,980.50 × 35,980.50
4. Step 4: Simplify right side
   16,417.50x = 1,294,596,380.25
5. Step 5: Solve for x
   x = 1,294,596,380.25/16,417.50
6. Step 6: Final answer
   x = 78,854.66