Finding the Third Proportional to 67,140 and 102,654

Step by Step Solution

1. Step 1: Write the proportion equation
   67,140 : 102,654 = 102,654 : x
2. Step 2: Convert to fraction form
   67,140/102,654 = 102,654/x
3. Step 3: Cross multiply
   67,140x = 102,654 × 102,654
4. Step 4: Simplify right side
   67,140x = 10,537,843,716
5. Step 5: Solve for x
   x = 10,537,843,716/67,140
6. Step 6: Final answer
   x = 156,953.29