Finding the Third Proportional to 23,742 and 37,595.25

Step by Step Solution

1. Step 1: Write the proportion equation
   23,742 : 37,595.25 = 37,595.25 : x
2. Step 2: Convert to fraction form
   23,742/37,595.25 = 37,595.25/x
3. Step 3: Cross multiply
   23,742x = 37,595.25 × 37,595.25
4. Step 4: Simplify right side
   23,742x = 1,413,402,822.56
5. Step 5: Solve for x
   x = 1,413,402,822.56/23,742
6. Step 6: Final answer
   x = 59,531.75