Finding the Third Proportional to 59,455 and 81,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,455 : 81,527.50 = 81,527.50 : x
2. Step 2: Convert to fraction form
   59,455/81,527.50 = 81,527.50/x
3. Step 3: Cross multiply
   59,455x = 81,527.50 × 81,527.50
4. Step 4: Simplify right side
   59,455x = 6,646,733,256.25
5. Step 5: Solve for x
   x = 6,646,733,256.25/59,455
6. Step 6: Final answer
   x = 111,794.35