Finding the Third Proportional to 25,834.50 and 52,764.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,834.50 : 52,764.75 = 52,764.75 : x
2. Step 2: Convert to fraction form
   25,834.50/52,764.75 = 52,764.75/x
3. Step 3: Cross multiply
   25,834.50x = 52,764.75 × 52,764.75
4. Step 4: Simplify right side
   25,834.50x = 2,784,118,842.56
5. Step 5: Solve for x
   x = 2,784,118,842.56/25,834.50
6. Step 6: Final answer
   x = 107,767.48