Finding the Third Proportional to 32,402 and 69,295

Step by Step Solution

1. Step 1: Write the proportion equation
   32,402 : 69,295 = 69,295 : x
2. Step 2: Convert to fraction form
   32,402/69,295 = 69,295/x
3. Step 3: Cross multiply
   32,402x = 69,295 × 69,295
4. Step 4: Simplify right side
   32,402x = 4,801,797,025
5. Step 5: Solve for x
   x = 4,801,797,025/32,402
6. Step 6: Final answer
   x = 148,194.46