Finding the Third Proportional to 55,634 and 86,090

Step by Step Solution

1. Step 1: Write the proportion equation
   55,634 : 86,090 = 86,090 : x
2. Step 2: Convert to fraction form
   55,634/86,090 = 86,090/x
3. Step 3: Cross multiply
   55,634x = 86,090 × 86,090
4. Step 4: Simplify right side
   55,634x = 7,411,488,100
5. Step 5: Solve for x
   x = 7,411,488,100/55,634
6. Step 6: Final answer
   x = 133,218.68