Finding the Third Proportional to 25,565 and 37,486.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,565 : 37,486.50 = 37,486.50 : x
2. Step 2: Convert to fraction form
   25,565/37,486.50 = 37,486.50/x
3. Step 3: Cross multiply
   25,565x = 37,486.50 × 37,486.50
4. Step 4: Simplify right side
   25,565x = 1,405,237,682.25
5. Step 5: Solve for x
   x = 1,405,237,682.25/25,565
6. Step 6: Final answer
   x = 54,967.25