Finding the Third Proportional to 31,312 and 65,209

Step by Step Solution

1. Step 1: Write the proportion equation
   31,312 : 65,209 = 65,209 : x
2. Step 2: Convert to fraction form
   31,312/65,209 = 65,209/x
3. Step 3: Cross multiply
   31,312x = 65,209 × 65,209
4. Step 4: Simplify right side
   31,312x = 4,252,213,681
5. Step 5: Solve for x
   x = 4,252,213,681/31,312
6. Step 6: Final answer
   x = 135,801.41