Finding the Third Proportional to 5,102.34 and 7,881.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,102.34 : 7,881.06 = 7,881.06 : x
2. Step 2: Convert to fraction form
   5,102.34/7,881.06 = 7,881.06/x
3. Step 3: Cross multiply
   5,102.34x = 7,881.06 × 7,881.06
4. Step 4: Simplify right side
   5,102.34x = 62,111,084.56
5. Step 5: Solve for x
   x = 62,111,084.56/5,102.34
6. Step 6: Final answer
   x = 12,173.05