Finding the Third Proportional to 32,454 and 67,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,454 : 67,378.50 = 67,378.50 : x
2. Step 2: Convert to fraction form
   32,454/67,378.50 = 67,378.50/x
3. Step 3: Cross multiply
   32,454x = 67,378.50 × 67,378.50
4. Step 4: Simplify right side
   32,454x = 4,539,862,262.25
5. Step 5: Solve for x
   x = 4,539,862,262.25/32,454
6. Step 6: Final answer
   x = 139,886.06