Finding the Third Proportional to 31,491 and 48,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,491 : 48,073.50 = 48,073.50 : x
2. Step 2: Convert to fraction form
   31,491/48,073.50 = 48,073.50/x
3. Step 3: Cross multiply
   31,491x = 48,073.50 × 48,073.50
4. Step 4: Simplify right side
   31,491x = 2,311,061,402.25
5. Step 5: Solve for x
   x = 2,311,061,402.25/31,491
6. Step 6: Final answer
   x = 73,388.00