Finding the Third Proportional to 45,730 and 70,774

Step by Step Solution

1. Step 1: Write the proportion equation
   45,730 : 70,774 = 70,774 : x
2. Step 2: Convert to fraction form
   45,730/70,774 = 70,774/x
3. Step 3: Cross multiply
   45,730x = 70,774 × 70,774
4. Step 4: Simplify right side
   45,730x = 5,008,959,076
5. Step 5: Solve for x
   x = 5,008,959,076/45,730
6. Step 6: Final answer
   x = 109,533.33