Finding the Third Proportional to 37,465 and 52,702

Step by Step Solution

1. Step 1: Write the proportion equation
   37,465 : 52,702 = 52,702 : x
2. Step 2: Convert to fraction form
   37,465/52,702 = 52,702/x
3. Step 3: Cross multiply
   37,465x = 52,702 × 52,702
4. Step 4: Simplify right side
   37,465x = 2,777,500,804
5. Step 5: Solve for x
   x = 2,777,500,804/37,465
6. Step 6: Final answer
   x = 74,135.88