Finding the Third Proportional to 31,588 and 69,119

Step by Step Solution

1. Step 1: Write the proportion equation
   31,588 : 69,119 = 69,119 : x
2. Step 2: Convert to fraction form
   31,588/69,119 = 69,119/x
3. Step 3: Cross multiply
   31,588x = 69,119 × 69,119
4. Step 4: Simplify right side
   31,588x = 4,777,436,161
5. Step 5: Solve for x
   x = 4,777,436,161/31,588
6. Step 6: Final answer
   x = 151,242.12