Finding the Third Proportional to 32,352 and 69,428

Step by Step Solution

1. Step 1: Write the proportion equation
   32,352 : 69,428 = 69,428 : x
2. Step 2: Convert to fraction form
   32,352/69,428 = 69,428/x
3. Step 3: Cross multiply
   32,352x = 69,428 × 69,428
4. Step 4: Simplify right side
   32,352x = 4,820,247,184
5. Step 5: Solve for x
   x = 4,820,247,184/32,352
6. Step 6: Final answer
   x = 148,993.79