Finding the Third Proportional to 70,953 and 105,814

Step by Step Solution

1. Step 1: Write the proportion equation
   70,953 : 105,814 = 105,814 : x
2. Step 2: Convert to fraction form
   70,953/105,814 = 105,814/x
3. Step 3: Cross multiply
   70,953x = 105,814 × 105,814
4. Step 4: Simplify right side
   70,953x = 11,196,602,596
5. Step 5: Solve for x
   x = 11,196,602,596/70,953
6. Step 6: Final answer
   x = 157,803.09