Finding the Third Proportional to 31,724 and 45,316

Step by Step Solution

1. Step 1: Write the proportion equation
   31,724 : 45,316 = 45,316 : x
2. Step 2: Convert to fraction form
   31,724/45,316 = 45,316/x
3. Step 3: Cross multiply
   31,724x = 45,316 × 45,316
4. Step 4: Simplify right side
   31,724x = 2,053,539,856
5. Step 5: Solve for x
   x = 2,053,539,856/31,724
6. Step 6: Final answer
   x = 64,731.43