Finding the Third Proportional to 31,602 and 73,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,602 : 73,159.50 = 73,159.50 : x
2. Step 2: Convert to fraction form
   31,602/73,159.50 = 73,159.50/x
3. Step 3: Cross multiply
   31,602x = 73,159.50 × 73,159.50
4. Step 4: Simplify right side
   31,602x = 5,352,312,440.25
5. Step 5: Solve for x
   x = 5,352,312,440.25/31,602
6. Step 6: Final answer
   x = 169,366.26