Finding the Third Proportional to 31,599 and 67,572

Step by Step Solution

1. Step 1: Write the proportion equation
   31,599 : 67,572 = 67,572 : x
2. Step 2: Convert to fraction form
   31,599/67,572 = 67,572/x
3. Step 3: Cross multiply
   31,599x = 67,572 × 67,572
4. Step 4: Simplify right side
   31,599x = 4,565,975,184
5. Step 5: Solve for x
   x = 4,565,975,184/31,599
6. Step 6: Final answer
   x = 144,497.46