Finding the Third Proportional to 32,352 and 69,810

Step by Step Solution

1. Step 1: Write the proportion equation
   32,352 : 69,810 = 69,810 : x
2. Step 2: Convert to fraction form
   32,352/69,810 = 69,810/x
3. Step 3: Cross multiply
   32,352x = 69,810 × 69,810
4. Step 4: Simplify right side
   32,352x = 4,873,436,100
5. Step 5: Solve for x
   x = 4,873,436,100/32,352
6. Step 6: Final answer
   x = 150,637.86