Finding the Third Proportional to 48,027.50 and 77,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,027.50 : 77,167.50 = 77,167.50 : x
2. Step 2: Convert to fraction form
   48,027.50/77,167.50 = 77,167.50/x
3. Step 3: Cross multiply
   48,027.50x = 77,167.50 × 77,167.50
4. Step 4: Simplify right side
   48,027.50x = 5,954,823,056.25
5. Step 5: Solve for x
   x = 5,954,823,056.25/48,027.50
6. Step 6: Final answer
   x = 123,987.78