Finding the Third Proportional to 32,047 and 69,502

Step by Step Solution

1. Step 1: Write the proportion equation
   32,047 : 69,502 = 69,502 : x
2. Step 2: Convert to fraction form
   32,047/69,502 = 69,502/x
3. Step 3: Cross multiply
   32,047x = 69,502 × 69,502
4. Step 4: Simplify right side
   32,047x = 4,830,528,004
5. Step 5: Solve for x
   x = 4,830,528,004/32,047
6. Step 6: Final answer
   x = 150,732.61