Finding the Third Proportional to 37,363.50 and 77,276.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,363.50 : 77,276.25 = 77,276.25 : x
2. Step 2: Convert to fraction form
   37,363.50/77,276.25 = 77,276.25/x
3. Step 3: Cross multiply
   37,363.50x = 77,276.25 × 77,276.25
4. Step 4: Simplify right side
   37,363.50x = 5,971,618,814.06
5. Step 5: Solve for x
   x = 5,971,618,814.06/37,363.50
6. Step 6: Final answer
   x = 159,824.93