Finding the Third Proportional to 31,316 and 64,702

Step by Step Solution

1. Step 1: Write the proportion equation
   31,316 : 64,702 = 64,702 : x
2. Step 2: Convert to fraction form
   31,316/64,702 = 64,702/x
3. Step 3: Cross multiply
   31,316x = 64,702 × 64,702
4. Step 4: Simplify right side
   31,316x = 4,186,348,804
5. Step 5: Solve for x
   x = 4,186,348,804/31,316
6. Step 6: Final answer
   x = 133,680.83