Finding the Third Proportional to 70,875 and 109,662

Step by Step Solution

1. Step 1: Write the proportion equation
   70,875 : 109,662 = 109,662 : x
2. Step 2: Convert to fraction form
   70,875/109,662 = 109,662/x
3. Step 3: Cross multiply
   70,875x = 109,662 × 109,662
4. Step 4: Simplify right side
   70,875x = 12,025,754,244
5. Step 5: Solve for x
   x = 12,025,754,244/70,875
6. Step 6: Final answer
   x = 169,675.54