Finding the Third Proportional to 31,762 and 70,086

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762 : 70,086 = 70,086 : x
2. Step 2: Convert to fraction form
   31,762/70,086 = 70,086/x
3. Step 3: Cross multiply
   31,762x = 70,086 × 70,086
4. Step 4: Simplify right side
   31,762x = 4,912,047,396
5. Step 5: Solve for x
   x = 4,912,047,396/31,762
6. Step 6: Final answer
   x = 154,651.70