Finding the Third Proportional to 45,876 and 64,604

Step by Step Solution

1. Step 1: Write the proportion equation
   45,876 : 64,604 = 64,604 : x
2. Step 2: Convert to fraction form
   45,876/64,604 = 64,604/x
3. Step 3: Cross multiply
   45,876x = 64,604 × 64,604
4. Step 4: Simplify right side
   45,876x = 4,173,676,816
5. Step 5: Solve for x
   x = 4,173,676,816/45,876
6. Step 6: Final answer
   x = 90,977.35