Finding the Third Proportional to 38,117 and 83,614

Step by Step Solution

1. Step 1: Write the proportion equation
   38,117 : 83,614 = 83,614 : x
2. Step 2: Convert to fraction form
   38,117/83,614 = 83,614/x
3. Step 3: Cross multiply
   38,117x = 83,614 × 83,614
4. Step 4: Simplify right side
   38,117x = 6,991,300,996
5. Step 5: Solve for x
   x = 6,991,300,996/38,117
6. Step 6: Final answer
   x = 183,416.87