Finding the Third Proportional to 24,654 and 37,595.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,654 : 37,595.25 = 37,595.25 : x
2. Step 2: Convert to fraction form
   24,654/37,595.25 = 37,595.25/x
3. Step 3: Cross multiply
   24,654x = 37,595.25 × 37,595.25
4. Step 4: Simplify right side
   24,654x = 1,413,402,822.56
5. Step 5: Solve for x
   x = 1,413,402,822.56/24,654
6. Step 6: Final answer
   x = 57,329.55