Finding the Third Proportional to 65,726 and 102,970

Step by Step Solution

1. Step 1: Write the proportion equation
   65,726 : 102,970 = 102,970 : x
2. Step 2: Convert to fraction form
   65,726/102,970 = 102,970/x
3. Step 3: Cross multiply
   65,726x = 102,970 × 102,970
4. Step 4: Simplify right side
   65,726x = 10,602,820,900
5. Step 5: Solve for x
   x = 10,602,820,900/65,726
6. Step 6: Final answer
   x = 161,318.52