Finding the Third Proportional to 53,872.31 and 85,262.06

Step by Step Solution

1. Step 1: Write the proportion equation
   53,872.31 : 85,262.06 = 85,262.06 : x
2. Step 2: Convert to fraction form
   53,872.31/85,262.06 = 85,262.06/x
3. Step 3: Cross multiply
   53,872.31x = 85,262.06 × 85,262.06
4. Step 4: Simplify right side
   53,872.31x = 7,269,619,301.75
5. Step 5: Solve for x
   x = 7,269,619,301.75/53,872.31
6. Step 6: Final answer
   x = 134,941.66