Finding the Third Proportional to 69,752 and 101,386

Step by Step Solution

1. Step 1: Write the proportion equation
   69,752 : 101,386 = 101,386 : x
2. Step 2: Convert to fraction form
   69,752/101,386 = 101,386/x
3. Step 3: Cross multiply
   69,752x = 101,386 × 101,386
4. Step 4: Simplify right side
   69,752x = 10,279,120,996
5. Step 5: Solve for x
   x = 10,279,120,996/69,752
6. Step 6: Final answer
   x = 147,366.68