Finding the Third Proportional to 34,562 and 52,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,562 : 52,765.50 = 52,765.50 : x
2. Step 2: Convert to fraction form
   34,562/52,765.50 = 52,765.50/x
3. Step 3: Cross multiply
   34,562x = 52,765.50 × 52,765.50
4. Step 4: Simplify right side
   34,562x = 2,784,197,990.25
5. Step 5: Solve for x
   x = 2,784,197,990.25/34,562
6. Step 6: Final answer
   x = 80,556.62