Finding the Third Proportional to 46,478 and 70,153

Step by Step Solution

1. Step 1: Write the proportion equation
   46,478 : 70,153 = 70,153 : x
2. Step 2: Convert to fraction form
   46,478/70,153 = 70,153/x
3. Step 3: Cross multiply
   46,478x = 70,153 × 70,153
4. Step 4: Simplify right side
   46,478x = 4,921,443,409
5. Step 5: Solve for x
   x = 4,921,443,409/46,478
6. Step 6: Final answer
   x = 105,887.59