Finding the Third Proportional to 31,880 and 45,532

Step by Step Solution

1. Step 1: Write the proportion equation
   31,880 : 45,532 = 45,532 : x
2. Step 2: Convert to fraction form
   31,880/45,532 = 45,532/x
3. Step 3: Cross multiply
   31,880x = 45,532 × 45,532
4. Step 4: Simplify right side
   31,880x = 2,073,163,024
5. Step 5: Solve for x
   x = 2,073,163,024/31,880
6. Step 6: Final answer
   x = 65,030.21