Finding the Third Proportional to 27,402 and 59,076

Step by Step Solution

1. Step 1: Write the proportion equation
   27,402 : 59,076 = 59,076 : x
2. Step 2: Convert to fraction form
   27,402/59,076 = 59,076/x
3. Step 3: Cross multiply
   27,402x = 59,076 × 59,076
4. Step 4: Simplify right side
   27,402x = 3,489,973,776
5. Step 5: Solve for x
   x = 3,489,973,776/27,402
6. Step 6: Final answer
   x = 127,362.01