Finding the Third Proportional to 51,530.25 and 81,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,530.25 : 81,967.50 = 81,967.50 : x
2. Step 2: Convert to fraction form
   51,530.25/81,967.50 = 81,967.50/x
3. Step 3: Cross multiply
   51,530.25x = 81,967.50 × 81,967.50
4. Step 4: Simplify right side
   51,530.25x = 6,718,671,056.25
5. Step 5: Solve for x
   x = 6,718,671,056.25/51,530.25
6. Step 6: Final answer
   x = 130,383.05