Finding the Third Proportional to 40,765.50 and 64,431

Step by Step Solution

1. Step 1: Write the proportion equation
   40,765.50 : 64,431 = 64,431 : x
2. Step 2: Convert to fraction form
   40,765.50/64,431 = 64,431/x
3. Step 3: Cross multiply
   40,765.50x = 64,431 × 64,431
4. Step 4: Simplify right side
   40,765.50x = 4,151,353,761
5. Step 5: Solve for x
   x = 4,151,353,761/40,765.50
6. Step 6: Final answer
   x = 101,834.98