Finding the Third Proportional to 34,179 and 53,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,179 : 53,508.50 = 53,508.50 : x
2. Step 2: Convert to fraction form
   34,179/53,508.50 = 53,508.50/x
3. Step 3: Cross multiply
   34,179x = 53,508.50 × 53,508.50
4. Step 4: Simplify right side
   34,179x = 2,863,159,572.25
5. Step 5: Solve for x
   x = 2,863,159,572.25/34,179
6. Step 6: Final answer
   x = 83,769.55