Finding the Third Proportional to 42,730 and 65,715

Step by Step Solution

1. Step 1: Write the proportion equation
   42,730 : 65,715 = 65,715 : x
2. Step 2: Convert to fraction form
   42,730/65,715 = 65,715/x
3. Step 3: Cross multiply
   42,730x = 65,715 × 65,715
4. Step 4: Simplify right side
   42,730x = 4,318,461,225
5. Step 5: Solve for x
   x = 4,318,461,225/42,730
6. Step 6: Final answer
   x = 101,063.92