Finding the Third Proportional to 65,761 and 101,711

Step by Step Solution

1. Step 1: Write the proportion equation
   65,761 : 101,711 = 101,711 : x
2. Step 2: Convert to fraction form
   65,761/101,711 = 101,711/x
3. Step 3: Cross multiply
   65,761x = 101,711 × 101,711
4. Step 4: Simplify right side
   65,761x = 10,345,127,521
5. Step 5: Solve for x
   x = 10,345,127,521/65,761
6. Step 6: Final answer
   x = 157,314.02