Finding the Third Proportional to 48,156 and 61,164

Step by Step Solution

1. Step 1: Write the proportion equation
   48,156 : 61,164 = 61,164 : x
2. Step 2: Convert to fraction form
   48,156/61,164 = 61,164/x
3. Step 3: Cross multiply
   48,156x = 61,164 × 61,164
4. Step 4: Simplify right side
   48,156x = 3,741,034,896
5. Step 5: Solve for x
   x = 3,741,034,896/48,156
6. Step 6: Final answer
   x = 77,685.75