Finding the Third Proportional to 27,766.13 and 42,126.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,766.13 : 42,126.75 = 42,126.75 : x
2. Step 2: Convert to fraction form
   27,766.13/42,126.75 = 42,126.75/x
3. Step 3: Cross multiply
   27,766.13x = 42,126.75 × 42,126.75
4. Step 4: Simplify right side
   27,766.13x = 1,774,663,065.56
5. Step 5: Solve for x
   x = 1,774,663,065.56/27,766.13
6. Step 6: Final answer
   x = 63,914.68