Finding the Third Proportional to 37,767 and 52,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,767 : 52,798.50 = 52,798.50 : x
2. Step 2: Convert to fraction form
   37,767/52,798.50 = 52,798.50/x
3. Step 3: Cross multiply
   37,767x = 52,798.50 × 52,798.50
4. Step 4: Simplify right side
   37,767x = 2,787,681,602.25
5. Step 5: Solve for x
   x = 2,787,681,602.25/37,767
6. Step 6: Final answer
   x = 73,812.63