Finding the Third Proportional to 53,644.50 and 81,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,644.50 : 81,156.50 = 81,156.50 : x
2. Step 2: Convert to fraction form
   53,644.50/81,156.50 = 81,156.50/x
3. Step 3: Cross multiply
   53,644.50x = 81,156.50 × 81,156.50
4. Step 4: Simplify right side
   53,644.50x = 6,586,377,492.25
5. Step 5: Solve for x
   x = 6,586,377,492.25/53,644.50
6. Step 6: Final answer
   x = 122,778.24