Finding the Third Proportional to 16,077.50 and 34,828

Step by Step Solution

1. Step 1: Write the proportion equation
   16,077.50 : 34,828 = 34,828 : x
2. Step 2: Convert to fraction form
   16,077.50/34,828 = 34,828/x
3. Step 3: Cross multiply
   16,077.50x = 34,828 × 34,828
4. Step 4: Simplify right side
   16,077.50x = 1,212,989,584
5. Step 5: Solve for x
   x = 1,212,989,584/16,077.50
6. Step 6: Final answer
   x = 75,446.41