Finding the Third Proportional to 32,846 and 70,876

Step by Step Solution

1. Step 1: Write the proportion equation
   32,846 : 70,876 = 70,876 : x
2. Step 2: Convert to fraction form
   32,846/70,876 = 70,876/x
3. Step 3: Cross multiply
   32,846x = 70,876 × 70,876
4. Step 4: Simplify right side
   32,846x = 5,023,407,376
5. Step 5: Solve for x
   x = 5,023,407,376/32,846
6. Step 6: Final answer
   x = 152,938.18