Finding the Third Proportional to 30,746 and 64,948

Step by Step Solution

1. Step 1: Write the proportion equation
   30,746 : 64,948 = 64,948 : x
2. Step 2: Convert to fraction form
   30,746/64,948 = 64,948/x
3. Step 3: Cross multiply
   30,746x = 64,948 × 64,948
4. Step 4: Simplify right side
   30,746x = 4,218,242,704
5. Step 5: Solve for x
   x = 4,218,242,704/30,746
6. Step 6: Final answer
   x = 137,196.47