Finding the Third Proportional to 10,680 and 15,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 15,592.50 = 15,592.50 : x
2. Step 2: Convert to fraction form
   10,680/15,592.50 = 15,592.50/x
3. Step 3: Cross multiply
   10,680x = 15,592.50 × 15,592.50
4. Step 4: Simplify right side
   10,680x = 243,126,056.25
5. Step 5: Solve for x
   x = 243,126,056.25/10,680
6. Step 6: Final answer
   x = 22,764.61