Finding the Third Proportional to 37,965 and 52,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,965 : 52,642.50 = 52,642.50 : x
2. Step 2: Convert to fraction form
   37,965/52,642.50 = 52,642.50/x
3. Step 3: Cross multiply
   37,965x = 52,642.50 × 52,642.50
4. Step 4: Simplify right side
   37,965x = 2,771,232,806.25
5. Step 5: Solve for x
   x = 2,771,232,806.25/37,965
6. Step 6: Final answer
   x = 72,994.41