Finding the Third Proportional to 23,780.25 and 52,265.25

Step by Step Solution

1. Step 1: Write the proportion equation
   23,780.25 : 52,265.25 = 52,265.25 : x
2. Step 2: Convert to fraction form
   23,780.25/52,265.25 = 52,265.25/x
3. Step 3: Cross multiply
   23,780.25x = 52,265.25 × 52,265.25
4. Step 4: Simplify right side
   23,780.25x = 2,731,656,357.56
5. Step 5: Solve for x
   x = 2,731,656,357.56/23,780.25
6. Step 6: Final answer
   x = 114,870.80