Finding the Third Proportional to 25,636.50 and 37,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,636.50 : 37,543.50 = 37,543.50 : x
2. Step 2: Convert to fraction form
   25,636.50/37,543.50 = 37,543.50/x
3. Step 3: Cross multiply
   25,636.50x = 37,543.50 × 37,543.50
4. Step 4: Simplify right side
   25,636.50x = 1,409,514,392.25
5. Step 5: Solve for x
   x = 1,409,514,392.25/25,636.50
6. Step 6: Final answer
   x = 54,980.77