Finding the Third Proportional to 42,474 and 59,407

Step by Step Solution

1. Step 1: Write the proportion equation
   42,474 : 59,407 = 59,407 : x
2. Step 2: Convert to fraction form
   42,474/59,407 = 59,407/x
3. Step 3: Cross multiply
   42,474x = 59,407 × 59,407
4. Step 4: Simplify right side
   42,474x = 3,529,191,649
5. Step 5: Solve for x
   x = 3,529,191,649/42,474
6. Step 6: Final answer
   x = 83,090.64