Finding the Third Proportional to 69,688 and 101,610

Step by Step Solution

1. Step 1: Write the proportion equation
   69,688 : 101,610 = 101,610 : x
2. Step 2: Convert to fraction form
   69,688/101,610 = 101,610/x
3. Step 3: Cross multiply
   69,688x = 101,610 × 101,610
4. Step 4: Simplify right side
   69,688x = 10,324,592,100
5. Step 5: Solve for x
   x = 10,324,592,100/69,688
6. Step 6: Final answer
   x = 148,154.52