Finding the Third Proportional to 59,076 and 89,829

Step by Step Solution

1. Step 1: Write the proportion equation
   59,076 : 89,829 = 89,829 : x
2. Step 2: Convert to fraction form
   59,076/89,829 = 89,829/x
3. Step 3: Cross multiply
   59,076x = 89,829 × 89,829
4. Step 4: Simplify right side
   59,076x = 8,069,249,241
5. Step 5: Solve for x
   x = 8,069,249,241/59,076
6. Step 6: Final answer
   x = 136,590.99