Finding the Third Proportional to 37,565 and 52,516

Step by Step Solution

1. Step 1: Write the proportion equation
   37,565 : 52,516 = 52,516 : x
2. Step 2: Convert to fraction form
   37,565/52,516 = 52,516/x
3. Step 3: Cross multiply
   37,565x = 52,516 × 52,516
4. Step 4: Simplify right side
   37,565x = 2,757,930,256
5. Step 5: Solve for x
   x = 2,757,930,256/37,565
6. Step 6: Final answer
   x = 73,417.55