Finding the Third Proportional to 47,310 and 65,781

Step by Step Solution

1. Step 1: Write the proportion equation
   47,310 : 65,781 = 65,781 : x
2. Step 2: Convert to fraction form
   47,310/65,781 = 65,781/x
3. Step 3: Cross multiply
   47,310x = 65,781 × 65,781
4. Step 4: Simplify right side
   47,310x = 4,327,139,961
5. Step 5: Solve for x
   x = 4,327,139,961/47,310
6. Step 6: Final answer
   x = 91,463.54