Finding the Third Proportional to 59,534 and 80,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,534 : 80,852.50 = 80,852.50 : x
2. Step 2: Convert to fraction form
   59,534/80,852.50 = 80,852.50/x
3. Step 3: Cross multiply
   59,534x = 80,852.50 × 80,852.50
4. Step 4: Simplify right side
   59,534x = 6,537,126,756.25
5. Step 5: Solve for x
   x = 6,537,126,756.25/59,534
6. Step 6: Final answer
   x = 109,804.93