Finding the Third Proportional to 57,530.50 and 77,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,530.50 : 77,727.50 = 77,727.50 : x
2. Step 2: Convert to fraction form
   57,530.50/77,727.50 = 77,727.50/x
3. Step 3: Cross multiply
   57,530.50x = 77,727.50 × 77,727.50
4. Step 4: Simplify right side
   57,530.50x = 6,041,564,256.25
5. Step 5: Solve for x
   x = 6,041,564,256.25/57,530.50
6. Step 6: Final answer
   x = 105,014.98