Finding the Third Proportional to 34,500 and 53,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,500 : 53,440.50 = 53,440.50 : x
2. Step 2: Convert to fraction form
   34,500/53,440.50 = 53,440.50/x
3. Step 3: Cross multiply
   34,500x = 53,440.50 × 53,440.50
4. Step 4: Simplify right side
   34,500x = 2,855,887,040.25
5. Step 5: Solve for x
   x = 2,855,887,040.25/34,500
6. Step 6: Final answer
   x = 82,779.33