Finding the Third Proportional to 59,564 and 92,145

Step by Step Solution

1. Step 1: Write the proportion equation
   59,564 : 92,145 = 92,145 : x
2. Step 2: Convert to fraction form
   59,564/92,145 = 92,145/x
3. Step 3: Cross multiply
   59,564x = 92,145 × 92,145
4. Step 4: Simplify right side
   59,564x = 8,490,701,025
5. Step 5: Solve for x
   x = 8,490,701,025/59,564
6. Step 6: Final answer
   x = 142,547.53