Finding the Third Proportional to 42,420 and 63,726

Step by Step Solution

1. Step 1: Write the proportion equation
   42,420 : 63,726 = 63,726 : x
2. Step 2: Convert to fraction form
   42,420/63,726 = 63,726/x
3. Step 3: Cross multiply
   42,420x = 63,726 × 63,726
4. Step 4: Simplify right side
   42,420x = 4,061,003,076
5. Step 5: Solve for x
   x = 4,061,003,076/42,420
6. Step 6: Final answer
   x = 95,733.22