Finding the Third Proportional to 11,784 and 25,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,784 : 25,412.50 = 25,412.50 : x
2. Step 2: Convert to fraction form
   11,784/25,412.50 = 25,412.50/x
3. Step 3: Cross multiply
   11,784x = 25,412.50 × 25,412.50
4. Step 4: Simplify right side
   11,784x = 645,795,156.25
5. Step 5: Solve for x
   x = 645,795,156.25/11,784
6. Step 6: Final answer
   x = 54,802.71