Finding the Third Proportional to 53,389.50 and 86,010

Step by Step Solution

1. Step 1: Write the proportion equation
   53,389.50 : 86,010 = 86,010 : x
2. Step 2: Convert to fraction form
   53,389.50/86,010 = 86,010/x
3. Step 3: Cross multiply
   53,389.50x = 86,010 × 86,010
4. Step 4: Simplify right side
   53,389.50x = 7,397,720,100
5. Step 5: Solve for x
   x = 7,397,720,100/53,389.50
6. Step 6: Final answer
   x = 138,561.33