Finding the Third Proportional to 34,116 and 74,820

Step by Step Solution

1. Step 1: Write the proportion equation
   34,116 : 74,820 = 74,820 : x
2. Step 2: Convert to fraction form
   34,116/74,820 = 74,820/x
3. Step 3: Cross multiply
   34,116x = 74,820 × 74,820
4. Step 4: Simplify right side
   34,116x = 5,598,032,400
5. Step 5: Solve for x
   x = 5,598,032,400/34,116
6. Step 6: Final answer
   x = 164,088.18