Finding the Third Proportional to 25,656.75 and 37,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,656.75 : 37,597.50 = 37,597.50 : x
2. Step 2: Convert to fraction form
   25,656.75/37,597.50 = 37,597.50/x
3. Step 3: Cross multiply
   25,656.75x = 37,597.50 × 37,597.50
4. Step 4: Simplify right side
   25,656.75x = 1,413,572,006.25
5. Step 5: Solve for x
   x = 1,413,572,006.25/25,656.75
6. Step 6: Final answer
   x = 55,095.52