Finding the Third Proportional to 53,970 and 81,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,970 : 81,216.50 = 81,216.50 : x
2. Step 2: Convert to fraction form
   53,970/81,216.50 = 81,216.50/x
3. Step 3: Cross multiply
   53,970x = 81,216.50 × 81,216.50
4. Step 4: Simplify right side
   53,970x = 6,596,119,872.25
5. Step 5: Solve for x
   x = 6,596,119,872.25/53,970
6. Step 6: Final answer
   x = 122,218.27