Finding the Third Proportional to 32,848 and 72,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,848 : 72,054.50 = 72,054.50 : x
2. Step 2: Convert to fraction form
   32,848/72,054.50 = 72,054.50/x
3. Step 3: Cross multiply
   32,848x = 72,054.50 × 72,054.50
4. Step 4: Simplify right side
   32,848x = 5,191,850,970.25
5. Step 5: Solve for x
   x = 5,191,850,970.25/32,848
6. Step 6: Final answer
   x = 158,056.84