Finding the Third Proportional to 71,826 and 96,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,826 : 96,070.50 = 96,070.50 : x
2. Step 2: Convert to fraction form
   71,826/96,070.50 = 96,070.50/x
3. Step 3: Cross multiply
   71,826x = 96,070.50 × 96,070.50
4. Step 4: Simplify right side
   71,826x = 9,229,540,970.25
5. Step 5: Solve for x
   x = 9,229,540,970.25/71,826
6. Step 6: Final answer
   x = 128,498.61