Finding the Third Proportional to 56,961 and 91,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,961 : 91,516.50 = 91,516.50 : x
2. Step 2: Convert to fraction form
   56,961/91,516.50 = 91,516.50/x
3. Step 3: Cross multiply
   56,961x = 91,516.50 × 91,516.50
4. Step 4: Simplify right side
   56,961x = 8,375,269,772.25
5. Step 5: Solve for x
   x = 8,375,269,772.25/56,961
6. Step 6: Final answer
   x = 147,035.16