Finding the Third Proportional to 65,711.50 and 102,946

Step by Step Solution

1. Step 1: Write the proportion equation
   65,711.50 : 102,946 = 102,946 : x
2. Step 2: Convert to fraction form
   65,711.50/102,946 = 102,946/x
3. Step 3: Cross multiply
   65,711.50x = 102,946 × 102,946
4. Step 4: Simplify right side
   65,711.50x = 10,597,878,916
5. Step 5: Solve for x
   x = 10,597,878,916/65,711.50
6. Step 6: Final answer
   x = 161,278.91