Finding the Third Proportional to 16,600.50 and 35,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,600.50 : 35,842.50 = 35,842.50 : x
2. Step 2: Convert to fraction form
   16,600.50/35,842.50 = 35,842.50/x
3. Step 3: Cross multiply
   16,600.50x = 35,842.50 × 35,842.50
4. Step 4: Simplify right side
   16,600.50x = 1,284,684,806.25
5. Step 5: Solve for x
   x = 1,284,684,806.25/16,600.50
6. Step 6: Final answer
   x = 77,388.32