Finding the Third Proportional to 31,191 and 45,594

Step by Step Solution

1. Step 1: Write the proportion equation
   31,191 : 45,594 = 45,594 : x
2. Step 2: Convert to fraction form
   31,191/45,594 = 45,594/x
3. Step 3: Cross multiply
   31,191x = 45,594 × 45,594
4. Step 4: Simplify right side
   31,191x = 2,078,812,836
5. Step 5: Solve for x
   x = 2,078,812,836/31,191
6. Step 6: Final answer
   x = 66,647.84