Finding the Third Proportional to 32,447 and 69,076

Step by Step Solution

1. Step 1: Write the proportion equation
   32,447 : 69,076 = 69,076 : x
2. Step 2: Convert to fraction form
   32,447/69,076 = 69,076/x
3. Step 3: Cross multiply
   32,447x = 69,076 × 69,076
4. Step 4: Simplify right side
   32,447x = 4,771,493,776
5. Step 5: Solve for x
   x = 4,771,493,776/32,447
6. Step 6: Final answer
   x = 147,055.01