Finding the Third Proportional to 32,617.69 and 69,507

Step by Step Solution

1. Step 1: Write the proportion equation
   32,617.69 : 69,507 = 69,507 : x
2. Step 2: Convert to fraction form
   32,617.69/69,507 = 69,507/x
3. Step 3: Cross multiply
   32,617.69x = 69,507 × 69,507
4. Step 4: Simplify right side
   32,617.69x = 4,831,223,049
5. Step 5: Solve for x
   x = 4,831,223,049/32,617.69
6. Step 6: Final answer
   x = 148,116.66