Finding the Third Proportional to 34,849 and 52,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,849 : 52,597.50 = 52,597.50 : x
2. Step 2: Convert to fraction form
   34,849/52,597.50 = 52,597.50/x
3. Step 3: Cross multiply
   34,849x = 52,597.50 × 52,597.50
4. Step 4: Simplify right side
   34,849x = 2,766,497,006.25
5. Step 5: Solve for x
   x = 2,766,497,006.25/34,849
6. Step 6: Final answer
   x = 79,385.26