Finding the Third Proportional to 23,952 and 37,688

Step by Step Solution

1. Step 1: Write the proportion equation
   23,952 : 37,688 = 37,688 : x
2. Step 2: Convert to fraction form
   23,952/37,688 = 37,688/x
3. Step 3: Cross multiply
   23,952x = 37,688 × 37,688
4. Step 4: Simplify right side
   23,952x = 1,420,385,344
5. Step 5: Solve for x
   x = 1,420,385,344/23,952
6. Step 6: Final answer
   x = 59,301.33