Finding the Third Proportional to 25,687 and 37,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,687 : 37,641.50 = 37,641.50 : x
2. Step 2: Convert to fraction form
   25,687/37,641.50 = 37,641.50/x
3. Step 3: Cross multiply
   25,687x = 37,641.50 × 37,641.50
4. Step 4: Simplify right side
   25,687x = 1,416,882,522.25
5. Step 5: Solve for x
   x = 1,416,882,522.25/25,687
6. Step 6: Final answer
   x = 55,159.52