Finding the Third Proportional to 27,580.88 and 59,534.63

Step by Step Solution

1. Step 1: Write the proportion equation
   27,580.88 : 59,534.63 = 59,534.63 : x
2. Step 2: Convert to fraction form
   27,580.88/59,534.63 = 59,534.63/x
3. Step 3: Cross multiply
   27,580.88x = 59,534.63 × 59,534.63
4. Step 4: Simplify right side
   27,580.88x = 3,544,371,573.89
5. Step 5: Solve for x
   x = 3,544,371,573.89/27,580.88
6. Step 6: Final answer
   x = 128,508.31