Finding the Third Proportional to 34,497 and 52,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,497 : 52,738.50 = 52,738.50 : x
2. Step 2: Convert to fraction form
   34,497/52,738.50 = 52,738.50/x
3. Step 3: Cross multiply
   34,497x = 52,738.50 × 52,738.50
4. Step 4: Simplify right side
   34,497x = 2,781,349,382.25
5. Step 5: Solve for x
   x = 2,781,349,382.25/34,497
6. Step 6: Final answer
   x = 80,625.83