Finding the Third Proportional to 32,762 and 70,196

Step by Step Solution

1. Step 1: Write the proportion equation
   32,762 : 70,196 = 70,196 : x
2. Step 2: Convert to fraction form
   32,762/70,196 = 70,196/x
3. Step 3: Cross multiply
   32,762x = 70,196 × 70,196
4. Step 4: Simplify right side
   32,762x = 4,927,478,416
5. Step 5: Solve for x
   x = 4,927,478,416/32,762
6. Step 6: Final answer
   x = 150,402.25