Finding the Third Proportional to 7,687.50 and 12,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,687.50 : 12,070.50 = 12,070.50 : x
2. Step 2: Convert to fraction form
   7,687.50/12,070.50 = 12,070.50/x
3. Step 3: Cross multiply
   7,687.50x = 12,070.50 × 12,070.50
4. Step 4: Simplify right side
   7,687.50x = 145,696,970.25
5. Step 5: Solve for x
   x = 145,696,970.25/7,687.50
6. Step 6: Final answer
   x = 18,952.45