Finding the Third Proportional to 31,594.50 and 73,140.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,594.50 : 73,140.75 = 73,140.75 : x
2. Step 2: Convert to fraction form
   31,594.50/73,140.75 = 73,140.75/x
3. Step 3: Cross multiply
   31,594.50x = 73,140.75 × 73,140.75
4. Step 4: Simplify right side
   31,594.50x = 5,349,569,310.56
5. Step 5: Solve for x
   x = 5,349,569,310.56/31,594.50
6. Step 6: Final answer
   x = 169,319.64