Finding the Third Proportional to 30,164 and 64,953

Step by Step Solution

1. Step 1: Write the proportion equation
   30,164 : 64,953 = 64,953 : x
2. Step 2: Convert to fraction form
   30,164/64,953 = 64,953/x
3. Step 3: Cross multiply
   30,164x = 64,953 × 64,953
4. Step 4: Simplify right side
   30,164x = 4,218,892,209
5. Step 5: Solve for x
   x = 4,218,892,209/30,164
6. Step 6: Final answer
   x = 139,865.14