Finding the Third Proportional to 42,478 and 59,411

Step by Step Solution

1. Step 1: Write the proportion equation
   42,478 : 59,411 = 59,411 : x
2. Step 2: Convert to fraction form
   42,478/59,411 = 59,411/x
3. Step 3: Cross multiply
   42,478x = 59,411 × 59,411
4. Step 4: Simplify right side
   42,478x = 3,529,666,921
5. Step 5: Solve for x
   x = 3,529,666,921/42,478
6. Step 6: Final answer
   x = 83,094.00