Finding the Third Proportional to 32,565 and 70,106

Step by Step Solution

1. Step 1: Write the proportion equation
   32,565 : 70,106 = 70,106 : x
2. Step 2: Convert to fraction form
   32,565/70,106 = 70,106/x
3. Step 3: Cross multiply
   32,565x = 70,106 × 70,106
4. Step 4: Simplify right side
   32,565x = 4,914,851,236
5. Step 5: Solve for x
   x = 4,914,851,236/32,565
6. Step 6: Final answer
   x = 150,924.34