Finding the Third Proportional to 27,850 and 59,654

Step by Step Solution

1. Step 1: Write the proportion equation
   27,850 : 59,654 = 59,654 : x
2. Step 2: Convert to fraction form
   27,850/59,654 = 59,654/x
3. Step 3: Cross multiply
   27,850x = 59,654 × 59,654
4. Step 4: Simplify right side
   27,850x = 3,558,599,716
5. Step 5: Solve for x
   x = 3,558,599,716/27,850
6. Step 6: Final answer
   x = 127,777.37