Finding the Third Proportional to 61,413 and 91,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,413 : 91,741.50 = 91,741.50 : x
2. Step 2: Convert to fraction form
   61,413/91,741.50 = 91,741.50/x
3. Step 3: Cross multiply
   61,413x = 91,741.50 × 91,741.50
4. Step 4: Simplify right side
   61,413x = 8,416,502,822.25
5. Step 5: Solve for x
   x = 8,416,502,822.25/61,413
6. Step 6: Final answer
   x = 137,047.58