Finding the Third Proportional to 42,594 and 59,724

Step by Step Solution

1. Step 1: Write the proportion equation
   42,594 : 59,724 = 59,724 : x
2. Step 2: Convert to fraction form
   42,594/59,724 = 59,724/x
3. Step 3: Cross multiply
   42,594x = 59,724 × 59,724
4. Step 4: Simplify right side
   42,594x = 3,566,956,176
5. Step 5: Solve for x
   x = 3,566,956,176/42,594
6. Step 6: Final answer
   x = 83,743.16