Finding the Third Proportional to 42,140 and 63,478

Step by Step Solution

1. Step 1: Write the proportion equation
   42,140 : 63,478 = 63,478 : x
2. Step 2: Convert to fraction form
   42,140/63,478 = 63,478/x
3. Step 3: Cross multiply
   42,140x = 63,478 × 63,478
4. Step 4: Simplify right side
   42,140x = 4,029,456,484
5. Step 5: Solve for x
   x = 4,029,456,484/42,140
6. Step 6: Final answer
   x = 95,620.70