Finding the Third Proportional to 45,814 and 65,361

Step by Step Solution

1. Step 1: Write the proportion equation
   45,814 : 65,361 = 65,361 : x
2. Step 2: Convert to fraction form
   45,814/65,361 = 65,361/x
3. Step 3: Cross multiply
   45,814x = 65,361 × 65,361
4. Step 4: Simplify right side
   45,814x = 4,272,060,321
5. Step 5: Solve for x
   x = 4,272,060,321/45,814
6. Step 6: Final answer
   x = 93,247.92