Finding the Third Proportional to 42,694 and 93,590

Step by Step Solution

1. Step 1: Write the proportion equation
   42,694 : 93,590 = 93,590 : x
2. Step 2: Convert to fraction form
   42,694/93,590 = 93,590/x
3. Step 3: Cross multiply
   42,694x = 93,590 × 93,590
4. Step 4: Simplify right side
   42,694x = 8,759,088,100
5. Step 5: Solve for x
   x = 8,759,088,100/42,694
6. Step 6: Final answer
   x = 205,159.70