Finding the Third Proportional to 34,551 and 52,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,551 : 52,186.50 = 52,186.50 : x
2. Step 2: Convert to fraction form
   34,551/52,186.50 = 52,186.50/x
3. Step 3: Cross multiply
   34,551x = 52,186.50 × 52,186.50
4. Step 4: Simplify right side
   34,551x = 2,723,430,782.25
5. Step 5: Solve for x
   x = 2,723,430,782.25/34,551
6. Step 6: Final answer
   x = 78,823.50