Finding the Third Proportional to 38,877.75 and 83,731.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38,877.75 : 83,731.88 = 83,731.88 : x
2. Step 2: Convert to fraction form
   38,877.75/83,731.88 = 83,731.88/x
3. Step 3: Cross multiply
   38,877.75x = 83,731.88 × 83,731.88
4. Step 4: Simplify right side
   38,877.75x = 7,011,026,891.02
5. Step 5: Solve for x
   x = 7,011,026,891.02/38,877.75
6. Step 6: Final answer
   x = 180,335.20