Finding the Third Proportional to 34,819 and 53,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,819 : 53,044.50 = 53,044.50 : x
2. Step 2: Convert to fraction form
   34,819/53,044.50 = 53,044.50/x
3. Step 3: Cross multiply
   34,819x = 53,044.50 × 53,044.50
4. Step 4: Simplify right side
   34,819x = 2,813,718,980.25
5. Step 5: Solve for x
   x = 2,813,718,980.25/34,819
6. Step 6: Final answer
   x = 80,809.87