Finding the Third Proportional to 37,582 and 52,864

Step by Step Solution

1. Step 1: Write the proportion equation
   37,582 : 52,864 = 52,864 : x
2. Step 2: Convert to fraction form
   37,582/52,864 = 52,864/x
3. Step 3: Cross multiply
   37,582x = 52,864 × 52,864
4. Step 4: Simplify right side
   37,582x = 2,794,602,496
5. Step 5: Solve for x
   x = 2,794,602,496/37,582
6. Step 6: Final answer
   x = 74,360.13