Finding the Third Proportional to 42,643 and 59,646

Step by Step Solution

1. Step 1: Write the proportion equation
   42,643 : 59,646 = 59,646 : x
2. Step 2: Convert to fraction form
   42,643/59,646 = 59,646/x
3. Step 3: Cross multiply
   42,643x = 59,646 × 59,646
4. Step 4: Simplify right side
   42,643x = 3,557,645,316
5. Step 5: Solve for x
   x = 3,557,645,316/42,643
6. Step 6: Final answer
   x = 83,428.59